What is the 6413th prime number?
The 6413th prime number is 63997. The next prime is 64007 (a gap of 10) and the one before is 63977.
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 6413th one is 63997.
- 2
63997 is prime because no prime up to ā63997 ā 252.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6413th prime is close to 6413 Ć ln(6413) ā 56217, and here it is 63997.
- 4
63997 has no twin: neither 63995 nor 63999 is prime.
Primes around the 6413th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6410 | 63929 | 16 |
| 6411 | 63949 | 20 |
| 6412 | 63977 | 28 |
| 6413 | 63997 | 20 |
| 6414 | 64007 | 10 |
| 6415 | 64013 | 6 |
| 6416 | 64019 | 6 |
Questions
What is the 6413th prime number?
63997.
Which prime number is 63997?
63997 is the 6413th prime number.
What is the sum of the first 6413 primes?
193,931,124.