What is the 6493rd prime number?
The 6493rd prime number is 64997. The next prime is 65003 (a gap of 6) and the one before is 64969.
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 6493rd one is 64997.
- 2
64997 is prime because no prime up to ā64997 ā 254.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6493rd prime is close to 6493 Ć ln(6493) ā 56999, and here it is 64997.
- 4
64997 has no twin: neither 64995 nor 64999 is prime.
Primes around the 6493rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6490 | 64937 | 10 |
| 6491 | 64951 | 14 |
| 6492 | 64969 | 18 |
| 6493 | 64997 | 28 |
| 6494 | 65003 | 6 |
| 6495 | 65011 | 8 |
| 6496 | 65027 | 16 |
Questions
What is the 6493rd prime number?
64997.
Which prime number is 64997?
64997 is the 6493rd prime number.
What is the sum of the first 6493 primes?
199,091,012.