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List of primes numbers from 5000 to 10000

Prime Numbers Between Calculator

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Ex.: 1 to 100, etc.

Answer

There are 560 prime numbers between 5000 and 10000.

They are:

5003500950115021502350395051505950775081
5087509951015107511351195147515351675171
5179518951975209522752315233523752615273
5279528152975303530953235333534753515381
5387539353995407541354175419543154375441
5443544954715477547954835501550355075519
5521552755315557556355695573558155915623
5639564156475651565356575659566956835689
5693570157115717573757415743574957795783
5791580158075813582158275839584358495851
5857586158675869587958815897590359235927
5939595359815987600760116029603760436047
6053606760736079608960916101611361216131
6133614361516163617361976199620362116217
6221622962476257626362696271627762876299
6301631163176323632963376343635363596361
6367637363796389639764216427644964516469
6473648164916521652965476551655365636569
6571657765816599660766196637665366596661
6673667966896691670167036709671967336737
6761676367796781679167936803682368276829
6833684168576863686968716883689969076911
6917694769496959696169676971697769836991
6997700170137019702770397043705770697079
7103710971217127712971517159717771877193
7207721172137219722972377243724772537283
7297730773097321733173337349735173697393
7411741774337451745774597477748174877489
7499750775177523752975377541754775497559
7561757375777583758975917603760776217639
7643764976697673768176877691769977037717
7723772777417753775777597789779378177823
7829784178537867787378777879788379017907
7919792779337937794979517963799380098011
8017803980538059806980818087808980938101
8111811781238147816181678171817981918209
8219822182318233823782438263826982738287
8291829382978311831783298353836383698377
8387838984198423842984318443844784618467
8501851385218527853785398543856385738581
8597859986098623862786298641864786638669
8677868186898693869987078713871987318737
8741874787538761877987838803880788198821
8831883788398849886188638867888788938923
8929893389418951896389698971899990019007
9011901390299041904390499059906790919103
9109912791339137915191579161917391819187
9199920392099221922792399241925792779281
9283929393119319932393379341934393499371
9377939193979403941394199421943194339437
9439946194639467947394799491949795119521
9533953995479551958796019613961996239629
9631964396499661967796799689969797199721
9733973997439749976797699781978797919803
9811981798299833983998519857985998719883
9887990199079923992999319941994999679973

There are 79 tween primes between 5000 and 10000.

The folowing are the sets of tween primes between 5000 and 10000:

(5009,5011); (5021,5023); (5099,5101); (5231,5233); (5279,5281); (5417,5419); (5441,5443); (5477,5479); (5501,5503); (5519,5521); (5639,5641); (5651,5653); (5657,5659); (5741,5743); (5849,5851); (5867,5869); (5879,5881); (6089,6091); (6131,6133); (6197,6199); (6269,6271); (6299,6301); (6359,6361); (6449,6451); (6551,6553); (6569,6571); (6659,6661); (6689,6691); (6701,6703); (6761,6763); (6779,6781); (6791,6793); (6827,6829); (6869,6871); (6947,6949); (6959,6961); (7127,7129); (7211,7213); (7307,7309); (7331,7333); (7349,7351); (7457,7459); (7487,7489); (7547,7549); (7559,7561); (7589,7591); (7757,7759); (7877,7879); (7949,7951); (8009,8011); (8087,8089); (8219,8221); (8231,8233); (8291,8293); (8387,8389); (8429,8431); (8537,8539); (8597,8599); (8627,8629); (8819,8821); (8837,8839); (8861,8863); (8969,8971); (8999,9001); (9011,9013); (9041,9043); (9239,9241); (9281,9283); (9341,9343); (9419,9421); (9431,9433); (9437,9439); (9461,9463); (9629,9631); (9677,9679); (9719,9721); (9767,9769); (9857,9859); (9929,9931);

The sum of prime numbers between 5000 and 10000 is 4.1883 × 106.

The average of prime numbers between 5000 and 10000 is 7479.

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 5000 to 10000 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):

(5009,5011); (5021,5023); (5099,5101); (5231,5233); (5279,5281); (5417,5419); (5441,5443); (5477,5479); (5501,5503); (5519,5521); (5639,5641); (5651,5653); (5657,5659); (5741,5743); (5849,5851); (5867,5869); (5879,5881); (6089,6091); (6131,6133); (6197,6199); (6269,6271); (6299,6301); (6359,6361); (6449,6451); (6551,6553); (6569,6571); (6659,6661); (6689,6691); (6701,6703); (6761,6763); (6779,6781); (6791,6793); (6827,6829); (6869,6871); (6947,6949); (6959,6961); (7127,7129); (7211,7213); (7307,7309); (7331,7333); (7349,7351); (7457,7459); (7487,7489); (7547,7549); (7559,7561); (7589,7591); (7757,7759); (7877,7879); (7949,7951); (8009,8011); (8087,8089); (8219,8221); (8231,8233); (8291,8293); (8387,8389); (8429,8431); (8537,8539); (8597,8599); (8627,8629); (8819,8821); (8837,8839); (8861,8863); (8969,8971); (8999,9001); (9011,9013); (9041,9043); (9239,9241); (9281,9283); (9341,9343); (9419,9421); (9431,9433); (9437,9439); (9461,9463); (9629,9631); (9677,9679); (9719,9721); (9767,9769); (9857,9859); (9929,9931);

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