What is the 2608th prime number?
The 2608th prime number is 23417. The next prime is 23431 (a gap of 14) and the one before is 23399.
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 2608th one is 23417.
- 2
23417 is prime because no prime up to ā23417 ā 153.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2608th prime is close to 2608 Ć ln(2608) ā 20515, and here it is 23417.
- 4
23417 has no twin: neither 23415 nor 23419 is prime.
Primes around the 2608th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2605 | 23369 | 12 |
| 2606 | 23371 | 2 |
| 2607 | 23399 | 28 |
| 2608 | 23417 | 18 |
| 2609 | 23431 | 14 |
| 2610 | 23447 | 16 |
| 2611 | 23459 | 12 |
Questions
What is the 2608th prime number?
23417.
Which prime number is 23417?
23417 is the 2608th prime number.
What is the sum of the first 2608 primes?
28,681,557.