List of primes numbers from 4000 to 5000

Prime Numbers Between Calculator

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Ex.: 1 to 100, etc.

Answer

There are 119 prime numbers between 4000 and 5000.

They are:

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 23 tween primes between 4000 and 5000.

The folowing are the sets of tween primes between 4000 and 5000:

(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 4000 and 5000 is 5.3463 × 10⁵.

The average of prime numbers between 4000 and 5000 is 4492.7.

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 4000 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):

(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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