What is the 6410th prime number?
The 6410th prime number is 63929. The next prime is 63949 (a gap of 20) and the one before is 63913.
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 6410th one is 63929.
- 2
63929 is prime because no prime up to ā63929 ā 252.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6410th prime is close to 6410 Ć ln(6410) ā 56188, and here it is 63929.
- 4
63929 has no twin: neither 63927 nor 63931 is prime.
Primes around the 6410th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6407 | 63901 | 38 |
| 6408 | 63907 | 6 |
| 6409 | 63913 | 6 |
| 6410 | 63929 | 16 |
| 6411 | 63949 | 20 |
| 6412 | 63977 | 28 |
| 6413 | 63997 | 20 |
Questions
What is the 6410th prime number?
63929.
Which prime number is 63929?
63929 is the 6410th prime number.
What is the sum of the first 6410 primes?
193,739,201.