What is the 2451st prime number?
The 2451st prime number is 21851. The next prime is 21859 (a gap of 8) and the one before is 21841.
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 2451st one is 21851.
- 2
21851 is prime because no prime up to ā21851 ā 147.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2451st prime is close to 2451 Ć ln(2451) ā 19128, and here it is 21851.
- 4
21851 has no twin: neither 21849 nor 21853 is prime.
Primes around the 2451st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2448 | 21821 | 4 |
| 2449 | 21839 | 18 |
| 2450 | 21841 | 2 |
| 2451 | 21851 | 10 |
| 2452 | 21859 | 8 |
| 2453 | 21863 | 4 |
| 2454 | 21871 | 8 |
Questions
What is the 2451st prime number?
21851.
Which prime number is 21851?
21851 is the 2451st prime number.
What is the sum of the first 2451 primes?
25,128,552.