What is the 2614th prime number?
The 2614th prime number is 23509. The next prime is 23531 (a gap of 22) and the one before is 23497.
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 2614th one is 23509.
- 2
23509 is prime because no prime up to ā23509 ā 153.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2614th prime is close to 2614 Ć ln(2614) ā 20569, and here it is 23509.
- 4
23509 has no twin: neither 23507 nor 23511 is prime.
Primes around the 2614th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2611 | 23459 | 12 |
| 2612 | 23473 | 14 |
| 2613 | 23497 | 24 |
| 2614 | 23509 | 12 |
| 2615 | 23531 | 22 |
| 2616 | 23537 | 6 |
| 2617 | 23539 | 2 |
Questions
What is the 2614th prime number?
23509.
Which prime number is 23509?
23509 is the 2614th prime number.
What is the sum of the first 2614 primes?
28,822,373.