What is the 7480th prime number?
The 7480th prime number is 75979. The next prime is 75983 (a gap of 4) and the one before is 75967.
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 7480th one is 75979.
- 2
75979 is prime because no prime up to ā75979 ā 275.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7480th prime is close to 7480 Ć ln(7480) ā 66722, and here it is 75979.
- 4
75979 has no twin: neither 75977 nor 75981 is prime.
Primes around the 7480th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7477 | 75937 | 6 |
| 7478 | 75941 | 4 |
| 7479 | 75967 | 26 |
| 7480 | 75979 | 12 |
| 7481 | 75983 | 4 |
| 7482 | 75989 | 6 |
| 7483 | 75991 | 2 |
Questions
What is the 7480th prime number?
75979.
Which prime number is 75979?
75979 is the 7480th prime number.
What is the sum of the first 7480 primes?
268,641,101.