WordGPT

What is the 2955th prime number?

The 2955th prime number is 26947. The next prime is 26951 (a gap of 4) and the one before is 26927.

Position

Pick any whole number from 1 to 10,000.

How to work it out

  1. 1

    List the primes in order: 2, 3, 5, 7, 11, 13, … The 2955th one is 26947.

  2. 2

    26947 is prime because no prime up to √26947 ā‰ˆ 164.16 divides it.

  3. 3

    The primes are spread thinner as numbers grow: by the prime number theorem the 2955th prime is close to 2955 Ɨ ln(2955) ā‰ˆ 23614, and here it is 26947.

  4. 4

    26947 has no twin: neither 26945 nor 26949 is prime.

Primes around the 2955th

PositionPrimeGap from the previous
29522690310
29532692118
2954269276
29552694720
2956269514
2957269532
2958269596

Questions

What is the 2955th prime number?

26947.

Which prime number is 26947?

26947 is the 2955th prime number.

What is the sum of the first 2955 primes?

37,421,736.

About 26947

Neighbouring primes

    The 2955th prime number is 26947 | WordGPT