What is the 7971st prime number?
The 7971st prime number is 81509. The next prime is 81517 (a gap of 8) and the one before is 81463.
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 7971st one is 81509.
- 2
81509 is prime because no prime up to ā81509 ā 285.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7971st prime is close to 7971 Ć ln(7971) ā 71608, and here it is 81509.
- 4
81509 has no twin: neither 81507 nor 81511 is prime.
Primes around the 7971st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7968 | 81439 | 18 |
| 7969 | 81457 | 18 |
| 7970 | 81463 | 6 |
| 7971 | 81509 | 46 |
| 7972 | 81517 | 8 |
| 7973 | 81527 | 10 |
| 7974 | 81533 | 6 |
Questions
What is the 7971st prime number?
81509.
Which prime number is 81509?
81509 is the 7971st prime number.
What is the sum of the first 7971 primes?
307,309,500.