What is the 2562nd prime number?
The 2562nd prime number is 22963. The next prime is 22973 (a gap of 10) and the one before is 22961.
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 2562nd one is 22963.
- 2
22963 is prime because no prime up to ā22963 ā 151.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2562nd prime is close to 2562 Ć ln(2562) ā 20108, and here it is 22963.
- 4
22963 is a twin prime: 22961 and 22963 are both prime.
Primes around the 2562nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2559 | 22937 | 16 |
| 2560 | 22943 | 6 |
| 2561 | 22961 | 18 |
| 2562 | 22963 | 2 |
| 2563 | 22973 | 10 |
| 2564 | 22993 | 20 |
| 2565 | 23003 | 10 |
Questions
What is the 2562nd prime number?
22963.
Which prime number is 22963?
22963 is the 2562nd prime number.
What is the sum of the first 2562 primes?
27,615,493.