What is the 2461st prime number?
The 2461st prime number is 21961. The next prime is 21977 (a gap of 16) and the one before is 21943.
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 2461st one is 21961.
- 2
21961 is prime because no prime up to ā21961 ā 148.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2461st prime is close to 2461 Ć ln(2461) ā 19216, and here it is 21961.
- 4
21961 has no twin: neither 21959 nor 21963 is prime.
Primes around the 2461st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2458 | 21929 | 18 |
| 2459 | 21937 | 8 |
| 2460 | 21943 | 6 |
| 2461 | 21961 | 18 |
| 2462 | 21977 | 16 |
| 2463 | 21991 | 14 |
| 2464 | 21997 | 6 |
Questions
What is the 2461st prime number?
21961.
Which prime number is 21961?
21961 is the 2461st prime number.
What is the sum of the first 2461 primes?
25,347,600.