What is the 6492nd prime number?
The 6492nd prime number is 64969. The next prime is 64997 (a gap of 28) and the one before is 64951.
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 6492nd one is 64969.
- 2
64969 is prime because no prime up to ā64969 ā 254.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6492nd prime is close to 6492 Ć ln(6492) ā 56989, and here it is 64969.
- 4
64969 has no twin: neither 64967 nor 64971 is prime.
Primes around the 6492nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6489 | 64927 | 6 |
| 6490 | 64937 | 10 |
| 6491 | 64951 | 14 |
| 6492 | 64969 | 18 |
| 6493 | 64997 | 28 |
| 6494 | 65003 | 6 |
| 6495 | 65011 | 8 |
Questions
What is the 6492nd prime number?
64969.
Which prime number is 64969?
64969 is the 6492nd prime number.
What is the sum of the first 6492 primes?
199,026,015.