List of primes numbers from 500 to 5000

Prime Numbers Between Calculator

Enter an Interval:

Ex.: 1 to 100, etc.

Answer

There are 574 prime numbers between 500 and 5000.

They are:

503	509	521	523	541	547	557	563	569	571
577	587	593	599	601	607	613	617	619	631
641	643	647	653	659	661	673	677	683	691
701	709	719	727	733	739	743	751	757	761
769	773	787	797	809	811	821	823	827	829
839	853	857	859	863	877	881	883	887	907
911	919	929	937	941	947	953	967	971	977
983	991	997	1009	1013	1019	1021	1031	1033	1039
1049	1051	1061	1063	1069	1087	1091	1093	1097	1103
1109	1117	1123	1129	1151	1153	1163	1171	1181	1187
1193	1201	1213	1217	1223	1229	1231	1237	1249	1259
1277	1279	1283	1289	1291	1297	1301	1303	1307	1319
1321	1327	1361	1367	1373	1381	1399	1409	1423	1427
1429	1433	1439	1447	1451	1453	1459	1471	1481	1483
1487	1489	1493	1499	1511	1523	1531	1543	1549	1553
1559	1567	1571	1579	1583	1597	1601	1607	1609	1613
1619	1621	1627	1637	1657	1663	1667	1669	1693	1697
1699	1709	1721	1723	1733	1741	1747	1753	1759	1777
1783	1787	1789	1801	1811	1823	1831	1847	1861	1867
1871	1873	1877	1879	1889	1901	1907	1913	1931	1933
1949	1951	1973	1979	1987	1993	1997	1999	2003	2011
2017	2027	2029	2039	2053	2063	2069	2081	2083	2087
2089	2099	2111	2113	2129	2131	2137	2141	2143	2153
2161	2179	2203	2207	2213	2221	2237	2239	2243	2251
2267	2269	2273	2281	2287	2293	2297	2309	2311	2333
2339	2341	2347	2351	2357	2371	2377	2381	2383	2389
2393	2399	2411	2417	2423	2437	2441	2447	2459	2467
2473	2477	2503	2521	2531	2539	2543	2549	2551	2557
2579	2591	2593	2609	2617	2621	2633	2647	2657	2659
2663	2671	2677	2683	2687	2689	2693	2699	2707	2711
2713	2719	2729	2731	2741	2749	2753	2767	2777	2789
2791	2797	2801	2803	2819	2833	2837	2843	2851	2857
2861	2879	2887	2897	2903	2909	2917	2927	2939	2953
2957	2963	2969	2971	2999	3001	3011	3019	3023	3037
3041	3049	3061	3067	3079	3083	3089	3109	3119	3121
3137	3163	3167	3169	3181	3187	3191	3203	3209	3217
3221	3229	3251	3253	3257	3259	3271	3299	3301	3307
3313	3319	3323	3329	3331	3343	3347	3359	3361	3371
3373	3389	3391	3407	3413	3433	3449	3457	3461	3463
3467	3469	3491	3499	3511	3517	3527	3529	3533	3539
3541	3547	3557	3559	3571	3581	3583	3593	3607	3613
3617	3623	3631	3637	3643	3659	3671	3673	3677	3691
3697	3701	3709	3719	3727	3733	3739	3761	3767	3769
3779	3793	3797	3803	3821	3823	3833	3847	3851	3853
3863	3877	3881	3889	3907	3911	3917	3919	3923	3929
3931	3943	3947	3967	3989	4001	4003	4007	4013	4019
4021	4027	4049	4051	4057	4073	4079	4091	4093	4099
4111	4127	4129	4133	4139	4153	4157	4159	4177	4201
4211	4217	4219	4229	4231	4241	4243	4253	4259	4261
4271	4273	4283	4289	4297	4327	4337	4339	4349	4357
4363	4373	4391	4397	4409	4421	4423	4441	4447	4451
4457	4463	4481	4483	4493	4507	4513	4517	4519	4523
4547	4549	4561	4567	4583	4591	4597	4603	4621	4637
4639	4643	4649	4651	4657	4663	4673	4679	4691	4703
4721	4723	4729	4733	4751	4759	4783	4787	4789	4793
4799	4801	4813	4817	4831	4861	4871	4877	4889	4903
4909	4919	4931	4933	4937	4943	4951	4957	4967	4969
4973	4987	4993	4999

There are 102 tween primes between 500 and 5000.

The folowing are the sets of tween primes between 500 and 5000:

(521,523); (569,571); (599,601); (617,619); (641,643); (659,661); (809,811); (821,823); (827,829); (857,859); (881,883); (1019,1021); (1031,1033); (1049,1051); (1061,1063); (1091,1093); (1151,1153); (1229,1231); (1277,1279); (1289,1291); (1301,1303); (1319,1321); (1427,1429); (1451,1453); (1481,1483); (1487,1489); (1607,1609); (1619,1621); (1667,1669); (1697,1699); (1721,1723); (1787,1789); (1871,1873); (1877,1879); (1931,1933); (1949,1951); (1997,1999); (2027,2029); (2081,2083); (2087,2089); (2111,2113); (2129,2131); (2141,2143); (2237,2239); (2267,2269); (2309,2311); (2339,2341); (2381,2383); (2549,2551); (2591,2593); (2657,2659); (2687,2689); (2711,2713); (2729,2731); (2789,2791); (2801,2803); (2969,2971); (2999,3001); (3119,3121); (3167,3169); (3251,3253); (3257,3259); (3299,3301); (3329,3331); (3359,3361); (3371,3373); (3389,3391); (3461,3463); (3467,3469); (3527,3529); (3539,3541); (3557,3559); (3581,3583); (3671,3673); (3767,3769); (3821,3823); (3851,3853); (3917,3919); (3929,3931); (4001,4003); (4019,4021); (4049,4051); (4091,4093); (4127,4129); (4157,4159); (4217,4219); (4229,4231); (4241,4243); (4259,4261); (4271,4273); (4337,4339); (4421,4423); (4481,4483); (4517,4519); (4547,4549); (4637,4639); (4649,4651); (4721,4723); (4787,4789); (4799,4801); (4931,4933); (4967,4969);

The sum of prime numbers between 500 and 5000 is 1.5266 × 10⁶.

The average of prime numbers between 500 and 5000 is 2659.6.

Note: this calculator also includes the starting and the ending number, which form the interval, if they are primes.

You can use this calculator to get the list of prime numbers from 500 to 5000 or between any two specified numbers, including them.

What is a prime number?

A prime number is a number which is only divisible by and itself.

Among mathematicians, 1 is universally regarded as non-prime.

Zero has an infinite number of factors; thus not prime or composite.

Definition of tween primes or what are tween primes?

For a pair of primes to be Twins, they must obey the following rule.

If i and j are twin primes, then both i and j must be individually primes and also should differ by 2, i.e. (i−j) = 2 or (j−i) = 2

Examples of tween primes sets (pairs):

(521,523); (569,571); (599,601); (617,619); (641,643); (659,661); (809,811); (821,823); (827,829); (857,859); (881,883); (1019,1021); (1031,1033); (1049,1051); (1061,1063); (1091,1093); (1151,1153); (1229,1231); (1277,1279); (1289,1291); (1301,1303); (1319,1321); (1427,1429); (1451,1453); (1481,1483); (1487,1489); (1607,1609); (1619,1621); (1667,1669); (1697,1699); (1721,1723); (1787,1789); (1871,1873); (1877,1879); (1931,1933); (1949,1951); (1997,1999); (2027,2029); (2081,2083); (2087,2089); (2111,2113); (2129,2131); (2141,2143); (2237,2239); (2267,2269); (2309,2311); (2339,2341); (2381,2383); (2549,2551); (2591,2593); (2657,2659); (2687,2689); (2711,2713); (2729,2731); (2789,2791); (2801,2803); (2969,2971); (2999,3001); (3119,3121); (3167,3169); (3251,3253); (3257,3259); (3299,3301); (3329,3331); (3359,3361); (3371,3373); (3389,3391); (3461,3463); (3467,3469); (3527,3529); (3539,3541); (3557,3559); (3581,3583); (3671,3673); (3767,3769); (3821,3823); (3851,3853); (3917,3919); (3929,3931); (4001,4003); (4019,4021); (4049,4051); (4091,4093); (4127,4129); (4157,4159); (4217,4219); (4229,4231); (4241,4243); (4259,4261); (4271,4273); (4337,4339); (4421,4423); (4481,4483); (4517,4519); (4547,4549); (4637,4639); (4649,4651); (4721,4723); (4787,4789); (4799,4801); (4931,4933); (4967,4969);

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