What is the 2761st prime number?
The 2761st prime number is 24979. The next prime is 24989 (a gap of 10) and the one before is 24977.
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 2761st one is 24979.
- 2
24979 is prime because no prime up to ā24979 ā 158.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2761st prime is close to 2761 Ć ln(2761) ā 21876, and here it is 24979.
- 4
24979 is a twin prime: 24977 and 24979 are both prime.
Primes around the 2761st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2758 | 24967 | 14 |
| 2759 | 24971 | 4 |
| 2760 | 24977 | 6 |
| 2761 | 24979 | 2 |
| 2762 | 24989 | 10 |
| 2763 | 25013 | 24 |
| 2764 | 25031 | 18 |
Questions
What is the 2761st prime number?
24979.
Which prime number is 24979?
24979 is the 2761st prime number.
What is the sum of the first 2761 primes?
32,380,728.