What is the 2462nd prime number?
The 2462nd prime number is 21977. The next prime is 21991 (a gap of 14) and the one before is 21961.
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 2462nd one is 21977.
- 2
21977 is prime because no prime up to ā21977 ā 148.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2462nd prime is close to 2462 Ć ln(2462) ā 19225, and here it is 21977.
- 4
21977 has no twin: neither 21975 nor 21979 is prime.
Primes around the 2462nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2459 | 21937 | 8 |
| 2460 | 21943 | 6 |
| 2461 | 21961 | 18 |
| 2462 | 21977 | 16 |
| 2463 | 21991 | 14 |
| 2464 | 21997 | 6 |
| 2465 | 22003 | 6 |
Questions
What is the 2462nd prime number?
21977.
Which prime number is 21977?
21977 is the 2462nd prime number.
What is the sum of the first 2462 primes?
25,369,577.