What is the 2620th prime number?
The 2620th prime number is 23561. The next prime is 23563 (a gap of 2) and the one before is 23557.
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 2620th one is 23561.
- 2
23561 is prime because no prime up to ā23561 ā 153.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2620th prime is close to 2620 Ć ln(2620) ā 20622, and here it is 23561.
- 4
23561 is a twin prime: 23561 and 23563 are both prime.
Primes around the 2620th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2617 | 23539 | 2 |
| 2618 | 23549 | 10 |
| 2619 | 23557 | 8 |
| 2620 | 23561 | 4 |
| 2621 | 23563 | 2 |
| 2622 | 23567 | 4 |
| 2623 | 23581 | 14 |
Questions
What is the 2620th prime number?
23561.
Which prime number is 23561?
23561 is the 2620th prime number.
What is the sum of the first 2620 primes?
28,963,647.