What is the 2607th prime number?
The 2607th prime number is 23399. The next prime is 23417 (a gap of 18) and the one before is 23371.
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 2607th one is 23399.
- 2
23399 is prime because no prime up to ā23399 ā 152.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2607th prime is close to 2607 Ć ln(2607) ā 20507, and here it is 23399.
- 4
23399 has no twin: neither 23397 nor 23401 is prime.
Primes around the 2607th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2604 | 23357 | 18 |
| 2605 | 23369 | 12 |
| 2606 | 23371 | 2 |
| 2607 | 23399 | 28 |
| 2608 | 23417 | 18 |
| 2609 | 23431 | 14 |
| 2610 | 23447 | 16 |
Questions
What is the 2607th prime number?
23399.
Which prime number is 23399?
23399 is the 2607th prime number.
What is the sum of the first 2607 primes?
28,658,140.