What is the 2531st prime number?
The 2531st prime number is 22651. The next prime is 22669 (a gap of 18) and the one before is 22643.
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 2531st one is 22651.
- 2
22651 is prime because no prime up to ā22651 ā 150.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2531st prime is close to 2531 Ć ln(2531) ā 19834, and here it is 22651.
- 4
22651 has no twin: neither 22649 nor 22653 is prime.
Primes around the 2531st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2528 | 22637 | 16 |
| 2529 | 22639 | 2 |
| 2530 | 22643 | 4 |
| 2531 | 22651 | 8 |
| 2532 | 22669 | 18 |
| 2533 | 22679 | 10 |
| 2534 | 22691 | 12 |
Questions
What is the 2531st prime number?
22651.
Which prime number is 22651?
22651 is the 2531st prime number.
What is the sum of the first 2531 primes?
26,908,548.