What is the 7979th prime number?
The 7979th prime number is 81563. The next prime is 81569 (a gap of 6) and the one before is 81559.
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 7979th one is 81563.
- 2
81563 is prime because no prime up to ā81563 ā 285.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7979th prime is close to 7979 Ć ln(7979) ā 71688, and here it is 81563.
- 4
81563 has no twin: neither 81561 nor 81565 is prime.
Primes around the 7979th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7976 | 81551 | 4 |
| 7977 | 81553 | 2 |
| 7978 | 81559 | 6 |
| 7979 | 81563 | 4 |
| 7980 | 81569 | 6 |
| 7981 | 81611 | 42 |
| 7982 | 81619 | 8 |
Questions
What is the 7979th prime number?
81563.
Which prime number is 81563?
81563 is the 7979th prime number.
What is the sum of the first 7979 primes?
307,961,850.