What is the 7481st prime number?
The 7481st prime number is 75983. The next prime is 75989 (a gap of 6) and the one before is 75979.
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 7481st one is 75983.
- 2
75983 is prime because no prime up to ā75983 ā 275.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7481st prime is close to 7481 Ć ln(7481) ā 66731, and here it is 75983.
- 4
75983 has no twin: neither 75981 nor 75985 is prime.
Primes around the 7481st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7478 | 75941 | 4 |
| 7479 | 75967 | 26 |
| 7480 | 75979 | 12 |
| 7481 | 75983 | 4 |
| 7482 | 75989 | 6 |
| 7483 | 75991 | 2 |
| 7484 | 75997 | 6 |
Questions
What is the 7481st prime number?
75983.
Which prime number is 75983?
75983 is the 7481st prime number.
What is the sum of the first 7481 primes?
268,717,084.