What is the 7630th prime number?
The 7630th prime number is 77641. The next prime is 77647 (a gap of 6) and the one before is 77621.
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 7630th one is 77641.
- 2
77641 is prime because no prime up to ā77641 ā 278.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7630th prime is close to 7630 Ć ln(7630) ā 68211, and here it is 77641.
- 4
77641 has no twin: neither 77639 nor 77643 is prime.
Primes around the 7630th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7627 | 77611 | 20 |
| 7628 | 77617 | 6 |
| 7629 | 77621 | 4 |
| 7630 | 77641 | 20 |
| 7631 | 77647 | 6 |
| 7632 | 77659 | 12 |
| 7633 | 77681 | 22 |
Questions
What is the 7630th prime number?
77641.
Which prime number is 77641?
77641 is the 7630th prime number.
What is the sum of the first 7630 primes?
280,167,101.