What is the 2656th prime number?
The 2656th prime number is 23879. The next prime is 23887 (a gap of 8) and the one before is 23873.
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 2656th one is 23879.
- 2
23879 is prime because no prime up to ā23879 ā 154.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2656th prime is close to 2656 Ć ln(2656) ā 20941, and here it is 23879.
- 4
23879 has no twin: neither 23877 nor 23881 is prime.
Primes around the 2656th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2653 | 23857 | 24 |
| 2654 | 23869 | 12 |
| 2655 | 23873 | 4 |
| 2656 | 23879 | 6 |
| 2657 | 23887 | 8 |
| 2658 | 23893 | 6 |
| 2659 | 23899 | 6 |
Questions
What is the 2656th prime number?
23879.
Which prime number is 23879?
23879 is the 2656th prime number.
What is the sum of the first 2656 primes?
29,817,525.