What is the 2559th prime number?
The 2559th prime number is 22937. The next prime is 22943 (a gap of 6) and the one before is 22921.
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 2559th one is 22937.
- 2
22937 is prime because no prime up to ā22937 ā 151.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2559th prime is close to 2559 Ć ln(2559) ā 20081, and here it is 22937.
- 4
22937 has no twin: neither 22935 nor 22939 is prime.
Primes around the 2559th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2556 | 22901 | 24 |
| 2557 | 22907 | 6 |
| 2558 | 22921 | 14 |
| 2559 | 22937 | 16 |
| 2560 | 22943 | 6 |
| 2561 | 22961 | 18 |
| 2562 | 22963 | 2 |
Questions
What is the 2559th prime number?
22937.
Which prime number is 22937?
22937 is the 2559th prime number.
What is the sum of the first 2559 primes?
27,546,626.