What is the 6415th prime number?
The 6415th prime number is 64013. The next prime is 64019 (a gap of 6) and the one before is 64007.
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 6415th one is 64013.
- 2
64013 is prime because no prime up to ā64013 ā 253.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6415th prime is close to 6415 Ć ln(6415) ā 56236, and here it is 64013.
- 4
64013 has no twin: neither 64011 nor 64015 is prime.
Primes around the 6415th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6412 | 63977 | 28 |
| 6413 | 63997 | 20 |
| 6414 | 64007 | 10 |
| 6415 | 64013 | 6 |
| 6416 | 64019 | 6 |
| 6417 | 64033 | 14 |
| 6418 | 64037 | 4 |
Questions
What is the 6415th prime number?
64013.
Which prime number is 64013?
64013 is the 6415th prime number.
What is the sum of the first 6415 primes?
194,059,144.