Prime Numbers Calculator

Check if a number is prime, find prime factors, and explore the first 1000 prime numbers with our comprehensive prime numbers calculator.

Enter a number

Result

2 is a prime number

Nearest Primes

Next prime: 3
Previous prime: None

Understanding Prime Numbers

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. Prime numbers are the building blocks of all natural numbers through multiplication.

Properties of Prime Numbers

Every natural number greater than 1 is either prime or can be expressed as a product of primes
There are infinitely many prime numbers
2 is the only even prime number
Every prime number greater than 3 can be written in the form 6n ± 1

How to Find Prime Numbers

There are several methods to check if a number is prime:

Trial Division: Check divisibility by all numbers up to √n
Sieve of Eratosthenes: An ancient algorithm for finding all primes up to a given limit
Probabilistic Tests: Efficient methods for large numbers

First 1000 Prime Numbers

n	0	1	2	3	4	5	6	7	8	9
0	2Prime[1] = 2	3Prime[2] = 3	5Prime[3] = 5	7Prime[4] = 7	11Prime[5] = 11	13Prime[6] = 13	17Prime[7] = 17	19Prime[8] = 19	23Prime[9] = 23	29Prime[10] = 29
10	31Prime[11] = 31	37Prime[12] = 37	41Prime[13] = 41	43Prime[14] = 43	47Prime[15] = 47	53Prime[16] = 53	59Prime[17] = 59	61Prime[18] = 61	67Prime[19] = 67	71Prime[20] = 71
20	73Prime[21] = 73	79Prime[22] = 79	83Prime[23] = 83	89Prime[24] = 89	97Prime[25] = 97	101Prime[26] = 101	103Prime[27] = 103	107Prime[28] = 107	109Prime[29] = 109	113Prime[30] = 113
30	127Prime[31] = 127	131Prime[32] = 131	137Prime[33] = 137	139Prime[34] = 139	149Prime[35] = 149	151Prime[36] = 151	157Prime[37] = 157	163Prime[38] = 163	167Prime[39] = 167	173Prime[40] = 173
40	179Prime[41] = 179	181Prime[42] = 181	191Prime[43] = 191	193Prime[44] = 193	197Prime[45] = 197	199Prime[46] = 199	211Prime[47] = 211	223Prime[48] = 223	227Prime[49] = 227	229Prime[50] = 229
50	233Prime[51] = 233	239Prime[52] = 239	241Prime[53] = 241	251Prime[54] = 251	257Prime[55] = 257	263Prime[56] = 263	269Prime[57] = 269	271Prime[58] = 271	277Prime[59] = 277	281Prime[60] = 281
60	283Prime[61] = 283	293Prime[62] = 293	307Prime[63] = 307	311Prime[64] = 311	313Prime[65] = 313	317Prime[66] = 317	331Prime[67] = 331	337Prime[68] = 337	347Prime[69] = 347	349Prime[70] = 349
70	353Prime[71] = 353	359Prime[72] = 359	367Prime[73] = 367	373Prime[74] = 373	379Prime[75] = 379	383Prime[76] = 383	389Prime[77] = 389	397Prime[78] = 397	401Prime[79] = 401	409Prime[80] = 409
80	419Prime[81] = 419	421Prime[82] = 421	431Prime[83] = 431	433Prime[84] = 433	439Prime[85] = 439	443Prime[86] = 443	449Prime[87] = 449	457Prime[88] = 457	461Prime[89] = 461	463Prime[90] = 463
90	467Prime[91] = 467	479Prime[92] = 479	487Prime[93] = 487	491Prime[94] = 491	499Prime[95] = 499	503Prime[96] = 503	509Prime[97] = 509	521Prime[98] = 521	523Prime[99] = 523	541Prime[100] = 541
100	547Prime[101] = 547	557Prime[102] = 557	563Prime[103] = 563	569Prime[104] = 569	571Prime[105] = 571	577Prime[106] = 577	587Prime[107] = 587	593Prime[108] = 593	599Prime[109] = 599	601Prime[110] = 601
110	607Prime[111] = 607	613Prime[112] = 613	617Prime[113] = 617	619Prime[114] = 619	631Prime[115] = 631	641Prime[116] = 641	643Prime[117] = 643	647Prime[118] = 647	653Prime[119] = 653	659Prime[120] = 659
120	661Prime[121] = 661	673Prime[122] = 673	677Prime[123] = 677	683Prime[124] = 683	691Prime[125] = 691	701Prime[126] = 701	709Prime[127] = 709	719Prime[128] = 719	727Prime[129] = 727	733Prime[130] = 733
130	739Prime[131] = 739	743Prime[132] = 743	751Prime[133] = 751	757Prime[134] = 757	761Prime[135] = 761	769Prime[136] = 769	773Prime[137] = 773	787Prime[138] = 787	797Prime[139] = 797	809Prime[140] = 809
140	811Prime[141] = 811	821Prime[142] = 821	823Prime[143] = 823	827Prime[144] = 827	829Prime[145] = 829	839Prime[146] = 839	853Prime[147] = 853	857Prime[148] = 857	859Prime[149] = 859	863Prime[150] = 863
150	877Prime[151] = 877	881Prime[152] = 881	883Prime[153] = 883	887Prime[154] = 887	907Prime[155] = 907	911Prime[156] = 911	919Prime[157] = 919	929Prime[158] = 929	937Prime[159] = 937	941Prime[160] = 941
160	947Prime[161] = 947	953Prime[162] = 953	967Prime[163] = 967	971Prime[164] = 971	977Prime[165] = 977	983Prime[166] = 983	991Prime[167] = 991	997Prime[168] = 997	1009Prime[169] = 1009	1013Prime[170] = 1013
170	1019Prime[171] = 1019	1021Prime[172] = 1021	1031Prime[173] = 1031	1033Prime[174] = 1033	1039Prime[175] = 1039	1049Prime[176] = 1049	1051Prime[177] = 1051	1061Prime[178] = 1061	1063Prime[179] = 1063	1069Prime[180] = 1069
180	1087Prime[181] = 1087	1091Prime[182] = 1091	1093Prime[183] = 1093	1097Prime[184] = 1097	1103Prime[185] = 1103	1109Prime[186] = 1109	1117Prime[187] = 1117	1123Prime[188] = 1123	1129Prime[189] = 1129	1151Prime[190] = 1151
190	1153Prime[191] = 1153	1163Prime[192] = 1163	1171Prime[193] = 1171	1181Prime[194] = 1181	1187Prime[195] = 1187	1193Prime[196] = 1193	1201Prime[197] = 1201	1213Prime[198] = 1213	1217Prime[199] = 1217	1223Prime[200] = 1223
200	1229Prime[201] = 1229	1231Prime[202] = 1231	1237Prime[203] = 1237	1249Prime[204] = 1249	1259Prime[205] = 1259	1277Prime[206] = 1277	1279Prime[207] = 1279	1283Prime[208] = 1283	1289Prime[209] = 1289	1291Prime[210] = 1291
210	1297Prime[211] = 1297	1301Prime[212] = 1301	1303Prime[213] = 1303	1307Prime[214] = 1307	1319Prime[215] = 1319	1321Prime[216] = 1321	1327Prime[217] = 1327	1361Prime[218] = 1361	1367Prime[219] = 1367	1373Prime[220] = 1373
220	1381Prime[221] = 1381	1399Prime[222] = 1399	1409Prime[223] = 1409	1423Prime[224] = 1423	1427Prime[225] = 1427	1429Prime[226] = 1429	1433Prime[227] = 1433	1439Prime[228] = 1439	1447Prime[229] = 1447	1451Prime[230] = 1451
230	1453Prime[231] = 1453	1459Prime[232] = 1459	1471Prime[233] = 1471	1481Prime[234] = 1481	1483Prime[235] = 1483	1487Prime[236] = 1487	1489Prime[237] = 1489	1493Prime[238] = 1493	1499Prime[239] = 1499	1511Prime[240] = 1511
240	1523Prime[241] = 1523	1531Prime[242] = 1531	1543Prime[243] = 1543	1549Prime[244] = 1549	1553Prime[245] = 1553	1559Prime[246] = 1559	1567Prime[247] = 1567	1571Prime[248] = 1571	1579Prime[249] = 1579	1583Prime[250] = 1583
250	1597Prime[251] = 1597	1601Prime[252] = 1601	1607Prime[253] = 1607	1609Prime[254] = 1609	1613Prime[255] = 1613	1619Prime[256] = 1619	1621Prime[257] = 1621	1627Prime[258] = 1627	1637Prime[259] = 1637	1657Prime[260] = 1657
260	1663Prime[261] = 1663	1667Prime[262] = 1667	1669Prime[263] = 1669	1693Prime[264] = 1693	1697Prime[265] = 1697	1699Prime[266] = 1699	1709Prime[267] = 1709	1721Prime[268] = 1721	1723Prime[269] = 1723	1733Prime[270] = 1733
270	1741Prime[271] = 1741	1747Prime[272] = 1747	1753Prime[273] = 1753	1759Prime[274] = 1759	1777Prime[275] = 1777	1783Prime[276] = 1783	1787Prime[277] = 1787	1789Prime[278] = 1789	1801Prime[279] = 1801	1811Prime[280] = 1811
280	1823Prime[281] = 1823	1831Prime[282] = 1831	1847Prime[283] = 1847	1861Prime[284] = 1861	1867Prime[285] = 1867	1871Prime[286] = 1871	1873Prime[287] = 1873	1877Prime[288] = 1877	1879Prime[289] = 1879	1889Prime[290] = 1889
290	1901Prime[291] = 1901	1907Prime[292] = 1907	1913Prime[293] = 1913	1931Prime[294] = 1931	1933Prime[295] = 1933	1949Prime[296] = 1949	1951Prime[297] = 1951	1973Prime[298] = 1973	1979Prime[299] = 1979	1987Prime[300] = 1987
300	1993Prime[301] = 1993	1997Prime[302] = 1997	1999Prime[303] = 1999	2003Prime[304] = 2003	2011Prime[305] = 2011	2017Prime[306] = 2017	2027Prime[307] = 2027	2029Prime[308] = 2029	2039Prime[309] = 2039	2053Prime[310] = 2053
310	2063Prime[311] = 2063	2069Prime[312] = 2069	2081Prime[313] = 2081	2083Prime[314] = 2083	2087Prime[315] = 2087	2089Prime[316] = 2089	2099Prime[317] = 2099	2111Prime[318] = 2111	2113Prime[319] = 2113	2129Prime[320] = 2129
320	2131Prime[321] = 2131	2137Prime[322] = 2137	2141Prime[323] = 2141	2143Prime[324] = 2143	2153Prime[325] = 2153	2161Prime[326] = 2161	2179Prime[327] = 2179	2203Prime[328] = 2203	2207Prime[329] = 2207	2213Prime[330] = 2213
330	2221Prime[331] = 2221	2237Prime[332] = 2237	2239Prime[333] = 2239	2243Prime[334] = 2243	2251Prime[335] = 2251	2267Prime[336] = 2267	2269Prime[337] = 2269	2273Prime[338] = 2273	2281Prime[339] = 2281	2287Prime[340] = 2287
340	2293Prime[341] = 2293	2297Prime[342] = 2297	2309Prime[343] = 2309	2311Prime[344] = 2311	2333Prime[345] = 2333	2339Prime[346] = 2339	2341Prime[347] = 2341	2347Prime[348] = 2347	2351Prime[349] = 2351	2357Prime[350] = 2357
350	2371Prime[351] = 2371	2377Prime[352] = 2377	2381Prime[353] = 2381	2383Prime[354] = 2383	2389Prime[355] = 2389	2393Prime[356] = 2393	2399Prime[357] = 2399	2411Prime[358] = 2411	2417Prime[359] = 2417	2423Prime[360] = 2423
360	2437Prime[361] = 2437	2441Prime[362] = 2441	2447Prime[363] = 2447	2459Prime[364] = 2459	2467Prime[365] = 2467	2473Prime[366] = 2473	2477Prime[367] = 2477	2503Prime[368] = 2503	2521Prime[369] = 2521	2531Prime[370] = 2531
370	2539Prime[371] = 2539	2543Prime[372] = 2543	2549Prime[373] = 2549	2551Prime[374] = 2551	2557Prime[375] = 2557	2579Prime[376] = 2579	2591Prime[377] = 2591	2593Prime[378] = 2593	2609Prime[379] = 2609	2617Prime[380] = 2617
380	2621Prime[381] = 2621	2633Prime[382] = 2633	2647Prime[383] = 2647	2657Prime[384] = 2657	2659Prime[385] = 2659	2663Prime[386] = 2663	2671Prime[387] = 2671	2677Prime[388] = 2677	2683Prime[389] = 2683	2687Prime[390] = 2687
390	2689Prime[391] = 2689	2693Prime[392] = 2693	2699Prime[393] = 2699	2707Prime[394] = 2707	2711Prime[395] = 2711	2713Prime[396] = 2713	2719Prime[397] = 2719	2729Prime[398] = 2729	2731Prime[399] = 2731	2741Prime[400] = 2741
400	2749Prime[401] = 2749	2753Prime[402] = 2753	2767Prime[403] = 2767	2777Prime[404] = 2777	2789Prime[405] = 2789	2791Prime[406] = 2791	2797Prime[407] = 2797	2801Prime[408] = 2801	2803Prime[409] = 2803	2819Prime[410] = 2819
410	2833Prime[411] = 2833	2837Prime[412] = 2837	2843Prime[413] = 2843	2851Prime[414] = 2851	2857Prime[415] = 2857	2861Prime[416] = 2861	2879Prime[417] = 2879	2887Prime[418] = 2887	2897Prime[419] = 2897	2903Prime[420] = 2903
420	2909Prime[421] = 2909	2917Prime[422] = 2917	2927Prime[423] = 2927	2939Prime[424] = 2939	2953Prime[425] = 2953	2957Prime[426] = 2957	2963Prime[427] = 2963	2969Prime[428] = 2969	2971Prime[429] = 2971	2999Prime[430] = 2999
430	3001Prime[431] = 3001	3011Prime[432] = 3011	3019Prime[433] = 3019	3023Prime[434] = 3023	3037Prime[435] = 3037	3041Prime[436] = 3041	3049Prime[437] = 3049	3061Prime[438] = 3061	3067Prime[439] = 3067	3079Prime[440] = 3079
440	3083Prime[441] = 3083	3089Prime[442] = 3089	3109Prime[443] = 3109	3119Prime[444] = 3119	3121Prime[445] = 3121	3137Prime[446] = 3137	3163Prime[447] = 3163	3167Prime[448] = 3167	3169Prime[449] = 3169	3181Prime[450] = 3181
450	3187Prime[451] = 3187	3191Prime[452] = 3191	3203Prime[453] = 3203	3209Prime[454] = 3209	3217Prime[455] = 3217	3221Prime[456] = 3221	3229Prime[457] = 3229	3251Prime[458] = 3251	3253Prime[459] = 3253	3257Prime[460] = 3257
460	3259Prime[461] = 3259	3271Prime[462] = 3271	3299Prime[463] = 3299	3301Prime[464] = 3301	3307Prime[465] = 3307	3313Prime[466] = 3313	3319Prime[467] = 3319	3323Prime[468] = 3323	3329Prime[469] = 3329	3331Prime[470] = 3331
470	3343Prime[471] = 3343	3347Prime[472] = 3347	3359Prime[473] = 3359	3361Prime[474] = 3361	3371Prime[475] = 3371	3373Prime[476] = 3373	3389Prime[477] = 3389	3391Prime[478] = 3391	3407Prime[479] = 3407	3413Prime[480] = 3413
480	3433Prime[481] = 3433	3449Prime[482] = 3449	3457Prime[483] = 3457	3461Prime[484] = 3461	3463Prime[485] = 3463	3467Prime[486] = 3467	3469Prime[487] = 3469	3491Prime[488] = 3491	3499Prime[489] = 3499	3511Prime[490] = 3511
490	3517Prime[491] = 3517	3527Prime[492] = 3527	3529Prime[493] = 3529	3533Prime[494] = 3533	3539Prime[495] = 3539	3541Prime[496] = 3541	3547Prime[497] = 3547	3557Prime[498] = 3557	3559Prime[499] = 3559	3571Prime[500] = 3571
500	3581Prime[501] = 3581	3583Prime[502] = 3583	3593Prime[503] = 3593	3607Prime[504] = 3607	3613Prime[505] = 3613	3617Prime[506] = 3617	3623Prime[507] = 3623	3631Prime[508] = 3631	3637Prime[509] = 3637	3643Prime[510] = 3643
510	3659Prime[511] = 3659	3671Prime[512] = 3671	3673Prime[513] = 3673	3677Prime[514] = 3677	3691Prime[515] = 3691	3697Prime[516] = 3697	3701Prime[517] = 3701	3709Prime[518] = 3709	3719Prime[519] = 3719	3727Prime[520] = 3727
520	3733Prime[521] = 3733	3739Prime[522] = 3739	3761Prime[523] = 3761	3767Prime[524] = 3767	3769Prime[525] = 3769	3779Prime[526] = 3779	3793Prime[527] = 3793	3797Prime[528] = 3797	3803Prime[529] = 3803	3821Prime[530] = 3821
530	3823Prime[531] = 3823	3833Prime[532] = 3833	3847Prime[533] = 3847	3851Prime[534] = 3851	3853Prime[535] = 3853	3863Prime[536] = 3863	3877Prime[537] = 3877	3881Prime[538] = 3881	3889Prime[539] = 3889	3907Prime[540] = 3907
540	3911Prime[541] = 3911	3917Prime[542] = 3917	3919Prime[543] = 3919	3923Prime[544] = 3923	3929Prime[545] = 3929	3931Prime[546] = 3931	3943Prime[547] = 3943	3947Prime[548] = 3947	3967Prime[549] = 3967	3989Prime[550] = 3989
550	4001Prime[551] = 4001	4003Prime[552] = 4003	4007Prime[553] = 4007	4013Prime[554] = 4013	4019Prime[555] = 4019	4021Prime[556] = 4021	4027Prime[557] = 4027	4049Prime[558] = 4049	4051Prime[559] = 4051	4057Prime[560] = 4057
560	4073Prime[561] = 4073	4079Prime[562] = 4079	4091Prime[563] = 4091	4093Prime[564] = 4093	4099Prime[565] = 4099	4111Prime[566] = 4111	4127Prime[567] = 4127	4129Prime[568] = 4129	4133Prime[569] = 4133	4139Prime[570] = 4139
570	4153Prime[571] = 4153	4157Prime[572] = 4157	4159Prime[573] = 4159	4177Prime[574] = 4177	4201Prime[575] = 4201	4211Prime[576] = 4211	4217Prime[577] = 4217	4219Prime[578] = 4219	4229Prime[579] = 4229	4231Prime[580] = 4231
580	4241Prime[581] = 4241	4243Prime[582] = 4243	4253Prime[583] = 4253	4259Prime[584] = 4259	4261Prime[585] = 4261	4271Prime[586] = 4271	4273Prime[587] = 4273	4283Prime[588] = 4283	4289Prime[589] = 4289	4297Prime[590] = 4297
590	4327Prime[591] = 4327	4337Prime[592] = 4337	4339Prime[593] = 4339	4349Prime[594] = 4349	4357Prime[595] = 4357	4363Prime[596] = 4363	4373Prime[597] = 4373	4391Prime[598] = 4391	4397Prime[599] = 4397	4409Prime[600] = 4409
600	4421Prime[601] = 4421	4423Prime[602] = 4423	4441Prime[603] = 4441	4447Prime[604] = 4447	4451Prime[605] = 4451	4457Prime[606] = 4457	4463Prime[607] = 4463	4481Prime[608] = 4481	4483Prime[609] = 4483	4493Prime[610] = 4493
610	4507Prime[611] = 4507	4513Prime[612] = 4513	4517Prime[613] = 4517	4519Prime[614] = 4519	4523Prime[615] = 4523	4547Prime[616] = 4547	4549Prime[617] = 4549	4561Prime[618] = 4561	4567Prime[619] = 4567	4583Prime[620] = 4583
620	4591Prime[621] = 4591	4597Prime[622] = 4597	4603Prime[623] = 4603	4621Prime[624] = 4621	4637Prime[625] = 4637	4639Prime[626] = 4639	4643Prime[627] = 4643	4649Prime[628] = 4649	4651Prime[629] = 4651	4657Prime[630] = 4657
630	4663Prime[631] = 4663	4673Prime[632] = 4673	4679Prime[633] = 4679	4691Prime[634] = 4691	4703Prime[635] = 4703	4721Prime[636] = 4721	4723Prime[637] = 4723	4729Prime[638] = 4729	4733Prime[639] = 4733	4751Prime[640] = 4751
640	4759Prime[641] = 4759	4783Prime[642] = 4783	4787Prime[643] = 4787	4789Prime[644] = 4789	4793Prime[645] = 4793	4799Prime[646] = 4799	4801Prime[647] = 4801	4813Prime[648] = 4813	4817Prime[649] = 4817	4831Prime[650] = 4831
650	4861Prime[651] = 4861	4871Prime[652] = 4871	4877Prime[653] = 4877	4889Prime[654] = 4889	4903Prime[655] = 4903	4909Prime[656] = 4909	4919Prime[657] = 4919	4931Prime[658] = 4931	4933Prime[659] = 4933	4937Prime[660] = 4937
660	4943Prime[661] = 4943	4951Prime[662] = 4951	4957Prime[663] = 4957	4967Prime[664] = 4967	4969Prime[665] = 4969	4973Prime[666] = 4973	4987Prime[667] = 4987	4993Prime[668] = 4993	4999Prime[669] = 4999	5003Prime[670] = 5003
670	5009Prime[671] = 5009	5011Prime[672] = 5011	5021Prime[673] = 5021	5023Prime[674] = 5023	5039Prime[675] = 5039	5051Prime[676] = 5051	5059Prime[677] = 5059	5077Prime[678] = 5077	5081Prime[679] = 5081	5087Prime[680] = 5087
680	5099Prime[681] = 5099	5101Prime[682] = 5101	5107Prime[683] = 5107	5113Prime[684] = 5113	5119Prime[685] = 5119	5147Prime[686] = 5147	5153Prime[687] = 5153	5167Prime[688] = 5167	5171Prime[689] = 5171	5179Prime[690] = 5179
690	5189Prime[691] = 5189	5197Prime[692] = 5197	5209Prime[693] = 5209	5227Prime[694] = 5227	5231Prime[695] = 5231	5233Prime[696] = 5233	5237Prime[697] = 5237	5261Prime[698] = 5261	5273Prime[699] = 5273	5279Prime[700] = 5279
700	5281Prime[701] = 5281	5297Prime[702] = 5297	5303Prime[703] = 5303	5309Prime[704] = 5309	5323Prime[705] = 5323	5333Prime[706] = 5333	5347Prime[707] = 5347	5351Prime[708] = 5351	5381Prime[709] = 5381	5387Prime[710] = 5387
710	5393Prime[711] = 5393	5399Prime[712] = 5399	5407Prime[713] = 5407	5413Prime[714] = 5413	5417Prime[715] = 5417	5419Prime[716] = 5419	5431Prime[717] = 5431	5437Prime[718] = 5437	5441Prime[719] = 5441	5443Prime[720] = 5443
720	5449Prime[721] = 5449	5471Prime[722] = 5471	5477Prime[723] = 5477	5479Prime[724] = 5479	5483Prime[725] = 5483	5501Prime[726] = 5501	5503Prime[727] = 5503	5507Prime[728] = 5507	5519Prime[729] = 5519	5521Prime[730] = 5521
730	5527Prime[731] = 5527	5531Prime[732] = 5531	5557Prime[733] = 5557	5563Prime[734] = 5563	5569Prime[735] = 5569	5573Prime[736] = 5573	5581Prime[737] = 5581	5591Prime[738] = 5591	5623Prime[739] = 5623	5639Prime[740] = 5639
740	5641Prime[741] = 5641	5647Prime[742] = 5647	5651Prime[743] = 5651	5653Prime[744] = 5653	5657Prime[745] = 5657	5659Prime[746] = 5659	5669Prime[747] = 5669	5683Prime[748] = 5683	5689Prime[749] = 5689	5693Prime[750] = 5693
750	5701Prime[751] = 5701	5711Prime[752] = 5711	5717Prime[753] = 5717	5737Prime[754] = 5737	5741Prime[755] = 5741	5743Prime[756] = 5743	5749Prime[757] = 5749	5779Prime[758] = 5779	5783Prime[759] = 5783	5791Prime[760] = 5791
760	5801Prime[761] = 5801	5807Prime[762] = 5807	5813Prime[763] = 5813	5821Prime[764] = 5821	5827Prime[765] = 5827	5839Prime[766] = 5839	5843Prime[767] = 5843	5849Prime[768] = 5849	5851Prime[769] = 5851	5857Prime[770] = 5857
770	5861Prime[771] = 5861	5867Prime[772] = 5867	5869Prime[773] = 5869	5879Prime[774] = 5879	5881Prime[775] = 5881	5897Prime[776] = 5897	5903Prime[777] = 5903	5923Prime[778] = 5923	5927Prime[779] = 5927	5939Prime[780] = 5939
780	5953Prime[781] = 5953	5981Prime[782] = 5981	5987Prime[783] = 5987	6007Prime[784] = 6007	6011Prime[785] = 6011	6029Prime[786] = 6029	6037Prime[787] = 6037	6043Prime[788] = 6043	6047Prime[789] = 6047	6053Prime[790] = 6053
790	6067Prime[791] = 6067	6073Prime[792] = 6073	6079Prime[793] = 6079	6089Prime[794] = 6089	6091Prime[795] = 6091	6101Prime[796] = 6101	6113Prime[797] = 6113	6121Prime[798] = 6121	6131Prime[799] = 6131	6133Prime[800] = 6133
800	6143Prime[801] = 6143	6151Prime[802] = 6151	6163Prime[803] = 6163	6173Prime[804] = 6173	6197Prime[805] = 6197	6199Prime[806] = 6199	6203Prime[807] = 6203	6211Prime[808] = 6211	6217Prime[809] = 6217	6221Prime[810] = 6221
810	6229Prime[811] = 6229	6247Prime[812] = 6247	6257Prime[813] = 6257	6263Prime[814] = 6263	6269Prime[815] = 6269	6271Prime[816] = 6271	6277Prime[817] = 6277	6287Prime[818] = 6287	6299Prime[819] = 6299	6301Prime[820] = 6301
820	6311Prime[821] = 6311	6317Prime[822] = 6317	6323Prime[823] = 6323	6329Prime[824] = 6329	6337Prime[825] = 6337	6343Prime[826] = 6343	6353Prime[827] = 6353	6359Prime[828] = 6359	6361Prime[829] = 6361	6367Prime[830] = 6367
830	6373Prime[831] = 6373	6379Prime[832] = 6379	6389Prime[833] = 6389	6397Prime[834] = 6397	6421Prime[835] = 6421	6427Prime[836] = 6427	6449Prime[837] = 6449	6451Prime[838] = 6451	6469Prime[839] = 6469	6473Prime[840] = 6473
840	6481Prime[841] = 6481	6491Prime[842] = 6491	6521Prime[843] = 6521	6529Prime[844] = 6529	6547Prime[845] = 6547	6551Prime[846] = 6551	6553Prime[847] = 6553	6563Prime[848] = 6563	6569Prime[849] = 6569	6571Prime[850] = 6571
850	6577Prime[851] = 6577	6581Prime[852] = 6581	6599Prime[853] = 6599	6607Prime[854] = 6607	6619Prime[855] = 6619	6637Prime[856] = 6637	6653Prime[857] = 6653	6659Prime[858] = 6659	6661Prime[859] = 6661	6673Prime[860] = 6673
860	6679Prime[861] = 6679	6689Prime[862] = 6689	6691Prime[863] = 6691	6701Prime[864] = 6701	6703Prime[865] = 6703	6709Prime[866] = 6709	6719Prime[867] = 6719	6733Prime[868] = 6733	6737Prime[869] = 6737	6761Prime[870] = 6761
870	6763Prime[871] = 6763	6779Prime[872] = 6779	6781Prime[873] = 6781	6791Prime[874] = 6791	6793Prime[875] = 6793	6803Prime[876] = 6803	6823Prime[877] = 6823	6827Prime[878] = 6827	6829Prime[879] = 6829	6833Prime[880] = 6833
880	6841Prime[881] = 6841	6857Prime[882] = 6857	6863Prime[883] = 6863	6869Prime[884] = 6869	6871Prime[885] = 6871	6883Prime[886] = 6883	6899Prime[887] = 6899	6907Prime[888] = 6907	6911Prime[889] = 6911	6917Prime[890] = 6917
890	6947Prime[891] = 6947	6949Prime[892] = 6949	6959Prime[893] = 6959	6961Prime[894] = 6961	6967Prime[895] = 6967	6971Prime[896] = 6971	6977Prime[897] = 6977	6983Prime[898] = 6983	6991Prime[899] = 6991	6997Prime[900] = 6997
900	7001Prime[901] = 7001	7013Prime[902] = 7013	7019Prime[903] = 7019	7027Prime[904] = 7027	7039Prime[905] = 7039	7043Prime[906] = 7043	7057Prime[907] = 7057	7069Prime[908] = 7069	7079Prime[909] = 7079	7103Prime[910] = 7103
910	7109Prime[911] = 7109	7121Prime[912] = 7121	7127Prime[913] = 7127	7129Prime[914] = 7129	7151Prime[915] = 7151	7159Prime[916] = 7159	7177Prime[917] = 7177	7187Prime[918] = 7187	7193Prime[919] = 7193	7207Prime[920] = 7207
920	7211Prime[921] = 7211	7213Prime[922] = 7213	7219Prime[923] = 7219	7229Prime[924] = 7229	7237Prime[925] = 7237	7243Prime[926] = 7243	7247Prime[927] = 7247	7253Prime[928] = 7253	7283Prime[929] = 7283	7297Prime[930] = 7297
930	7307Prime[931] = 7307	7309Prime[932] = 7309	7321Prime[933] = 7321	7331Prime[934] = 7331	7333Prime[935] = 7333	7349Prime[936] = 7349	7351Prime[937] = 7351	7369Prime[938] = 7369	7393Prime[939] = 7393	7411Prime[940] = 7411
940	7417Prime[941] = 7417	7433Prime[942] = 7433	7451Prime[943] = 7451	7457Prime[944] = 7457	7459Prime[945] = 7459	7477Prime[946] = 7477	7481Prime[947] = 7481	7487Prime[948] = 7487	7489Prime[949] = 7489	7499Prime[950] = 7499
950	7507Prime[951] = 7507	7517Prime[952] = 7517	7523Prime[953] = 7523	7529Prime[954] = 7529	7537Prime[955] = 7537	7541Prime[956] = 7541	7547Prime[957] = 7547	7549Prime[958] = 7549	7559Prime[959] = 7559	7561Prime[960] = 7561
960	7573Prime[961] = 7573	7577Prime[962] = 7577	7583Prime[963] = 7583	7589Prime[964] = 7589	7591Prime[965] = 7591	7603Prime[966] = 7603	7607Prime[967] = 7607	7621Prime[968] = 7621	7639Prime[969] = 7639	7643Prime[970] = 7643
970	7649Prime[971] = 7649	7669Prime[972] = 7669	7673Prime[973] = 7673	7681Prime[974] = 7681	7687Prime[975] = 7687	7691Prime[976] = 7691	7699Prime[977] = 7699	7703Prime[978] = 7703	7717Prime[979] = 7717	7723Prime[980] = 7723
980	7727Prime[981] = 7727	7741Prime[982] = 7741	7753Prime[983] = 7753	7757Prime[984] = 7757	7759Prime[985] = 7759	7789Prime[986] = 7789	7793Prime[987] = 7793	7817Prime[988] = 7817	7823Prime[989] = 7823	7829Prime[990] = 7829
990	7841Prime[991] = 7841	7853Prime[992] = 7853	7867Prime[993] = 7867	7873Prime[994] = 7873	7877Prime[995] = 7877	7879Prime[996] = 7879	7883Prime[997] = 7883	7901Prime[998] = 7901	7907Prime[999] = 7907	7919Prime[1000] = 7919
1000	7927Prime[1001] = 7927	7933Prime[1002] = 7933	7937Prime[1003] = 7937	7949Prime[1004] = 7949	7951Prime[1005] = 7951	7963Prime[1006] = 7963	7993Prime[1007] = 7993	8009Prime[1008] = 8009	8011Prime[1009] = 8011

Common Questions

What is the largest known prime number?

As of 2023, the largest known prime number is 2^82,589,933 − 1, a number with 24,862,048 digits.

Are there patterns in prime numbers?

While primes appear to be randomly distributed, there are some patterns and conjectures, such as the Twin Prime Conjecture and Goldbach's Conjecture.

Why are prime numbers important?

Prime numbers are fundamental in number theory and have applications in cryptography, computer science, and mathematics.