What is the 7904th prime number?
The 7904th prime number is 80761. The next prime is 80777 (a gap of 16) and the one before is 80749.
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 7904th one is 80761.
- 2
80761 is prime because no prime up to ā80761 ā 284.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7904th prime is close to 7904 Ć ln(7904) ā 70939, and here it is 80761.
- 4
80761 has no twin: neither 80759 nor 80763 is prime.
Primes around the 7904th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7901 | 80737 | 24 |
| 7902 | 80747 | 10 |
| 7903 | 80749 | 2 |
| 7904 | 80761 | 12 |
| 7905 | 80777 | 16 |
| 7906 | 80779 | 2 |
| 7907 | 80783 | 4 |
Questions
What is the 7904th prime number?
80761.
Which prime number is 80761?
80761 is the 7904th prime number.
What is the sum of the first 7904 primes?
301,875,269.