What is the 7664th prime number?
The 7664th prime number is 78017. The next prime is 78031 (a gap of 14) and the one before is 78007.
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 7664th one is 78017.
- 2
78017 is prime because no prime up to ā78017 ā 279.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7664th prime is close to 7664 Ć ln(7664) ā 68549, and here it is 78017.
- 4
78017 has no twin: neither 78015 nor 78019 is prime.
Primes around the 7664th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7661 | 77983 | 6 |
| 7662 | 77999 | 16 |
| 7663 | 78007 | 8 |
| 7664 | 78017 | 10 |
| 7665 | 78031 | 14 |
| 7666 | 78041 | 10 |
| 7667 | 78049 | 8 |
Questions
What is the 7664th prime number?
78017.
Which prime number is 78017?
78017 is the 7664th prime number.
What is the sum of the first 7664 primes?
282,812,953.