What is the 115th prime number?
The 115th prime number is 631. The next prime is 641 (a gap of 10) and the one before is 619.
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 115th one is 631.
- 2
631 is prime because no prime up to ā631 ā 25.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 115th prime is close to 115 Ć ln(115) ā 546, and here it is 631.
- 4
631 has no twin: neither 629 nor 633 is prime.
Primes around the 115th
| Position | Prime | Gap from the previous |
|---|---|---|
| 112 | 613 | 6 |
| 113 | 617 | 4 |
| 114 | 619 | 2 |
| 115 | 631 | 12 |
| 116 | 641 | 10 |
| 117 | 643 | 2 |
| 118 | 647 | 4 |
Questions
What is the 115th prime number?
631.
Which prime number is 631?
631 is the 115th prime number.
What is the sum of the first 115 primes?
32,984.