What is the 2609th prime number?
The 2609th prime number is 23431. The next prime is 23447 (a gap of 16) and the one before is 23417.
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 2609th one is 23431.
- 2
23431 is prime because no prime up to ā23431 ā 153.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2609th prime is close to 2609 Ć ln(2609) ā 20524, and here it is 23431.
- 4
23431 has no twin: neither 23429 nor 23433 is prime.
Primes around the 2609th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2606 | 23371 | 2 |
| 2607 | 23399 | 28 |
| 2608 | 23417 | 18 |
| 2609 | 23431 | 14 |
| 2610 | 23447 | 16 |
| 2611 | 23459 | 12 |
| 2612 | 23473 | 14 |
Questions
What is the 2609th prime number?
23431.
Which prime number is 23431?
23431 is the 2609th prime number.
What is the sum of the first 2609 primes?
28,704,988.