What is the 7701st prime number?
The 7701st prime number is 78487. The next prime is 78497 (a gap of 10) and the one before is 78479.
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 7701st one is 78487.
- 2
78487 is prime because no prime up to ā78487 ā 280.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7701st prime is close to 7701 Ć ln(7701) ā 68917, and here it is 78487.
- 4
78487 has no twin: neither 78485 nor 78489 is prime.
Primes around the 7701st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7698 | 78439 | 2 |
| 7699 | 78467 | 28 |
| 7700 | 78479 | 12 |
| 7701 | 78487 | 8 |
| 7702 | 78497 | 10 |
| 7703 | 78509 | 12 |
| 7704 | 78511 | 2 |
Questions
What is the 7701st prime number?
78487.
Which prime number is 78487?
78487 is the 7701st prime number.
What is the sum of the first 7701 primes?
285,708,086.