What is the 2560th prime number?
The 2560th prime number is 22943. The next prime is 22961 (a gap of 18) and the one before is 22937.
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 2560th one is 22943.
- 2
22943 is prime because no prime up to ā22943 ā 151.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2560th prime is close to 2560 Ć ln(2560) ā 20090, and here it is 22943.
- 4
22943 has no twin: neither 22941 nor 22945 is prime.
Primes around the 2560th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2557 | 22907 | 6 |
| 2558 | 22921 | 14 |
| 2559 | 22937 | 16 |
| 2560 | 22943 | 6 |
| 2561 | 22961 | 18 |
| 2562 | 22963 | 2 |
| 2563 | 22973 | 10 |
Questions
What is the 2560th prime number?
22943.
Which prime number is 22943?
22943 is the 2560th prime number.
What is the sum of the first 2560 primes?
27,569,569.