What is the 3865th prime number?
The 3865th prime number is 36467. The next prime is 36469 (a gap of 2) and the one before is 36457.
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 3865th one is 36467.
- 2
36467 is prime because no prime up to ā36467 ā 190.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3865th prime is close to 3865 Ć ln(3865) ā 31924, and here it is 36467.
- 4
36467 is a twin prime: 36467 and 36469 are both prime.
Primes around the 3865th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3862 | 36433 | 44 |
| 3863 | 36451 | 18 |
| 3864 | 36457 | 6 |
| 3865 | 36467 | 10 |
| 3866 | 36469 | 2 |
| 3867 | 36473 | 4 |
| 3868 | 36479 | 6 |
Questions
What is the 3865th prime number?
36467.
Which prime number is 36467?
36467 is the 3865th prime number.
What is the sum of the first 3865 primes?
66,256,184.