What is the 7461st prime number?
The 7461st prime number is 75721. The next prime is 75731 (a gap of 10) and the one before is 75709.
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 7461st one is 75721.
- 2
75721 is prime because no prime up to ā75721 ā 275.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7461st prime is close to 7461 Ć ln(7461) ā 66533, and here it is 75721.
- 4
75721 has no twin: neither 75719 nor 75723 is prime.
Primes around the 7461st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7458 | 75703 | 14 |
| 7459 | 75707 | 4 |
| 7460 | 75709 | 2 |
| 7461 | 75721 | 12 |
| 7462 | 75731 | 10 |
| 7463 | 75743 | 12 |
| 7464 | 75767 | 24 |
Questions
What is the 7461st prime number?
75721.
Which prime number is 75721?
75721 is the 7461st prime number.
What is the sum of the first 7461 primes?
267,200,002.