What is the 2759th prime number?
The 2759th prime number is 24971. The next prime is 24977 (a gap of 6) and the one before is 24967.
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 2759th one is 24971.
- 2
24971 is prime because no prime up to ā24971 ā 158.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2759th prime is close to 2759 Ć ln(2759) ā 21859, and here it is 24971.
- 4
24971 has no twin: neither 24969 nor 24973 is prime.
Primes around the 2759th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2756 | 24943 | 20 |
| 2757 | 24953 | 10 |
| 2758 | 24967 | 14 |
| 2759 | 24971 | 4 |
| 2760 | 24977 | 6 |
| 2761 | 24979 | 2 |
| 2762 | 24989 | 10 |
Questions
What is the 2759th prime number?
24971.
Which prime number is 24971?
24971 is the 2759th prime number.
What is the sum of the first 2759 primes?
32,330,772.