What is the 7900th prime number?
The 7900th prime number is 80713. The next prime is 80737 (a gap of 24) and the one before is 80701.
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 7900th one is 80713.
- 2
80713 is prime because no prime up to ā80713 ā 284.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7900th prime is close to 7900 Ć ln(7900) ā 70899, and here it is 80713.
- 4
80713 has no twin: neither 80711 nor 80715 is prime.
Primes around the 7900th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7897 | 80683 | 2 |
| 7898 | 80687 | 4 |
| 7899 | 80701 | 14 |
| 7900 | 80713 | 12 |
| 7901 | 80737 | 24 |
| 7902 | 80747 | 10 |
| 7903 | 80749 | 2 |
Questions
What is the 7900th prime number?
80713.
Which prime number is 80713?
80713 is the 7900th prime number.
What is the sum of the first 7900 primes?
301,552,275.