What is the 7970th prime number?
The 7970th prime number is 81463. The next prime is 81509 (a gap of 46) and the one before is 81457.
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 7970th one is 81463.
- 2
81463 is prime because no prime up to ā81463 ā 285.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7970th prime is close to 7970 Ć ln(7970) ā 71598, and here it is 81463.
- 4
81463 has no twin: neither 81461 nor 81465 is prime.
Primes around the 7970th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7967 | 81421 | 12 |
| 7968 | 81439 | 18 |
| 7969 | 81457 | 18 |
| 7970 | 81463 | 6 |
| 7971 | 81509 | 46 |
| 7972 | 81517 | 8 |
| 7973 | 81527 | 10 |
Questions
What is the 7970th prime number?
81463.
Which prime number is 81463?
81463 is the 7970th prime number.
What is the sum of the first 7970 primes?
307,227,991.