What is the 7901st prime number?
The 7901st prime number is 80737. The next prime is 80747 (a gap of 10) and the one before is 80713.
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 7901st one is 80737.
- 2
80737 is prime because no prime up to ā80737 ā 284.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7901st prime is close to 7901 Ć ln(7901) ā 70909, and here it is 80737.
- 4
80737 has no twin: neither 80735 nor 80739 is prime.
Primes around the 7901st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7898 | 80687 | 4 |
| 7899 | 80701 | 14 |
| 7900 | 80713 | 12 |
| 7901 | 80737 | 24 |
| 7902 | 80747 | 10 |
| 7903 | 80749 | 2 |
| 7904 | 80761 | 12 |
Questions
What is the 7901st prime number?
80737.
Which prime number is 80737?
80737 is the 7901st prime number.
What is the sum of the first 7901 primes?
301,633,012.