What is the 2455th prime number?
The 2455th prime number is 21881. The next prime is 21893 (a gap of 12) and the one before is 21871.
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 2455th one is 21881.
- 2
21881 is prime because no prime up to ā21881 ā 147.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2455th prime is close to 2455 Ć ln(2455) ā 19163, and here it is 21881.
- 4
21881 has no twin: neither 21879 nor 21883 is prime.
Primes around the 2455th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2452 | 21859 | 8 |
| 2453 | 21863 | 4 |
| 2454 | 21871 | 8 |
| 2455 | 21881 | 10 |
| 2456 | 21893 | 12 |
| 2457 | 21911 | 18 |
| 2458 | 21929 | 18 |
Questions
What is the 2455th prime number?
21881.
Which prime number is 21881?
21881 is the 2455th prime number.
What is the sum of the first 2455 primes?
25,216,026.