What is the 7981st prime number?
The 7981st prime number is 81611. The next prime is 81619 (a gap of 8) and the one before is 81569.
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 7981st one is 81611.
- 2
81611 is prime because no prime up to ā81611 ā 285.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7981st prime is close to 7981 Ć ln(7981) ā 71708, and here it is 81611.
- 4
81611 has no twin: neither 81609 nor 81613 is prime.
Primes around the 7981st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7978 | 81559 | 6 |
| 7979 | 81563 | 4 |
| 7980 | 81569 | 6 |
| 7981 | 81611 | 42 |
| 7982 | 81619 | 8 |
| 7983 | 81629 | 10 |
| 7984 | 81637 | 8 |
Questions
What is the 7981st prime number?
81611.
Which prime number is 81611?
81611 is the 7981st prime number.
What is the sum of the first 7981 primes?
308,125,030.