What is the 2351st prime number?
The 2351st prime number is 20899. The next prime is 20903 (a gap of 4) and the one before is 20897.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 2351st one is 20899.
- 2
20899 is prime because no prime up to ā20899 ā 144.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2351st prime is close to 2351 Ć ln(2351) ā 18250, and here it is 20899.
- 4
20899 is a twin prime: 20897 and 20899 are both prime.
Primes around the 2351st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2348 | 20879 | 6 |
| 2349 | 20887 | 8 |
| 2350 | 20897 | 10 |
| 2351 | 20899 | 2 |
| 2352 | 20903 | 4 |
| 2353 | 20921 | 18 |
| 2354 | 20929 | 8 |
Questions
What is the 2351st prime number?
20899.
Which prime number is 20899?
20899 is the 2351st prime number.
What is the sum of the first 2351 primes?
22,990,266.