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List of primes numbers from 5 to 4000

Prime Numbers Between Calculator

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Ex.: 1 to 100, etc.

Answer
There are 548 prime numbers between 5 and 4000.

They are:

571113171923293137
41434753596167717379
838997101103107109113127131
137139149151157163167173179181
191193197199211223227229233239
241251257263269271277281283293
307311313317331337347349353359
367373379383389397401409419421
431433439443449457461463467479
487491499503509521523541547557
563569571577587593599601607613
617619631641643647653659661673
677683691701709719727733739743
751757761769773787797809811821
823827829839853857859863877881
883887907911919929937941947953
9679719779839919971009101310191021
1031103310391049105110611063106910871091
1093109711031109111711231129115111531163
1171118111871193120112131217122312291231
1237124912591277127912831289129112971301
1303130713191321132713611367137313811399
1409142314271429143314391447145114531459
1471148114831487148914931499151115231531
1543154915531559156715711579158315971601
1607160916131619162116271637165716631667
1669169316971699170917211723173317411747
1753175917771783178717891801181118231831
1847186118671871187318771879188919011907
1913193119331949195119731979198719931997
1999200320112017202720292039205320632069
2081208320872089209921112113212921312137
2141214321532161217922032207221322212237
2239224322512267226922732281228722932297
2309231123332339234123472351235723712377
2381238323892393239924112417242324372441
2447245924672473247725032521253125392543
2549255125572579259125932609261726212633
2647265726592663267126772683268726892693
2699270727112713271927292731274127492753
2767277727892791279728012803281928332837
2843285128572861287928872897290329092917
2927293929532957296329692971299930013011
3019302330373041304930613067307930833089
3109311931213137316331673169318131873191
3203320932173221322932513253325732593271
3299330133073313331933233329333133433347
3359336133713373338933913407341334333449
3457346134633467346934913499351135173527
3529353335393541354735573559357135813583
3593360736133617362336313637364336593671
3673367736913697370137093719372737333739
3761376737693779379337973803382138233833
3847385138533863387738813889390739113917
39193923392939313943394739673989

There are 102 tween primes between 5 and 4000.

The folowing are the sets of tween primes between 5 and 4000:

(5,7); (11,13); (17,19); (29,31); (41,43); (59,61); (71,73); (101,103); (107,109); (137,139); (149,151); (179,181); (191,193); (197,199); (227,229); (239,241); (269,271); (281,283); (311,313); (347,349); (419,421); (431,433); (461,463); (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);

The sum of prime numbers between 5 and 4000 is 1.0135 × 106.

The average of prime numbers between 5 and 4000 is 1849.5.

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 5 to 4000 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):

(5,7); (11,13); (17,19); (29,31); (41,43); (59,61); (71,73); (101,103); (107,109); (137,139); (149,151); (179,181); (191,193); (197,199); (227,229); (239,241); (269,271); (281,283); (311,313); (347,349); (419,421); (431,433); (461,463); (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);

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