What is the 2617th prime number?
The 2617th prime number is 23539. The next prime is 23549 (a gap of 10) and the one before is 23537.
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 2617th one is 23539.
- 2
23539 is prime because no prime up to ā23539 ā 153.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2617th prime is close to 2617 Ć ln(2617) ā 20595, and here it is 23539.
- 4
23539 is a twin prime: 23537 and 23539 are both prime.
Primes around the 2617th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2614 | 23509 | 12 |
| 2615 | 23531 | 22 |
| 2616 | 23537 | 6 |
| 2617 | 23539 | 2 |
| 2618 | 23549 | 10 |
| 2619 | 23557 | 8 |
| 2620 | 23561 | 4 |
Questions
What is the 2617th prime number?
23539.
Which prime number is 23539?
23539 is the 2617th prime number.
What is the sum of the first 2617 primes?
28,892,980.