What is the 3864th prime number?
The 3864th prime number is 36457. The next prime is 36467 (a gap of 10) and the one before is 36451.
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 3864th one is 36457.
- 2
36457 is prime because no prime up to ā36457 ā 190.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3864th prime is close to 3864 Ć ln(3864) ā 31915, and here it is 36457.
- 4
36457 has no twin: neither 36455 nor 36459 is prime.
Primes around the 3864th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3861 | 36389 | 6 |
| 3862 | 36433 | 44 |
| 3863 | 36451 | 18 |
| 3864 | 36457 | 6 |
| 3865 | 36467 | 10 |
| 3866 | 36469 | 2 |
| 3867 | 36473 | 4 |
Questions
What is the 3864th prime number?
36457.
Which prime number is 36457?
36457 is the 3864th prime number.
What is the sum of the first 3864 primes?
66,219,717.