What is the 2581st prime number?
The 2581st prime number is 23117. The next prime is 23131 (a gap of 14) and the one before is 23099.
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 2581st one is 23117.
- 2
23117 is prime because no prime up to ā23117 ā 152.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2581st prime is close to 2581 Ć ln(2581) ā 20276, and here it is 23117.
- 4
23117 has no twin: neither 23115 nor 23119 is prime.
Primes around the 2581st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2578 | 23081 | 10 |
| 2579 | 23087 | 6 |
| 2580 | 23099 | 12 |
| 2581 | 23117 | 18 |
| 2582 | 23131 | 14 |
| 2583 | 23143 | 12 |
| 2584 | 23159 | 16 |
Questions
What is the 2581st prime number?
23117.
Which prime number is 23117?
23117 is the 2581st prime number.
What is the sum of the first 2581 primes?
28,053,334.