What is the 7972nd prime number?
The 7972nd prime number is 81517. The next prime is 81527 (a gap of 10) and the one before is 81509.
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 7972nd one is 81517.
- 2
81517 is prime because no prime up to ā81517 ā 285.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7972nd prime is close to 7972 Ć ln(7972) ā 71618, and here it is 81517.
- 4
81517 has no twin: neither 81515 nor 81519 is prime.
Primes around the 7972nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7969 | 81457 | 18 |
| 7970 | 81463 | 6 |
| 7971 | 81509 | 46 |
| 7972 | 81517 | 8 |
| 7973 | 81527 | 10 |
| 7974 | 81533 | 6 |
| 7975 | 81547 | 14 |
Questions
What is the 7972nd prime number?
81517.
Which prime number is 81517?
81517 is the 7972nd prime number.
What is the sum of the first 7972 primes?
307,391,017.