What is the 2605th prime number?
The 2605th prime number is 23369. The next prime is 23371 (a gap of 2) and the one before is 23357.
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 2605th one is 23369.
- 2
23369 is prime because no prime up to ā23369 ā 152.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2605th prime is close to 2605 Ć ln(2605) ā 20489, and here it is 23369.
- 4
23369 is a twin prime: 23369 and 23371 are both prime.
Primes around the 2605th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2602 | 23333 | 6 |
| 2603 | 23339 | 6 |
| 2604 | 23357 | 18 |
| 2605 | 23369 | 12 |
| 2606 | 23371 | 2 |
| 2607 | 23399 | 28 |
| 2608 | 23417 | 18 |
Questions
What is the 2605th prime number?
23369.
Which prime number is 23369?
23369 is the 2605th prime number.
What is the sum of the first 2605 primes?
28,611,370.