What is the 2516th prime number?
The 2516th prime number is 22501. The next prime is 22511 (a gap of 10) and the one before is 22483.
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 2516th one is 22501.
- 2
22501 is prime because no prime up to ā22501 ā 150.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2516th prime is close to 2516 Ć ln(2516) ā 19701, and here it is 22501.
- 4
22501 has no twin: neither 22499 nor 22503 is prime.
Primes around the 2516th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2513 | 22469 | 16 |
| 2514 | 22481 | 12 |
| 2515 | 22483 | 2 |
| 2516 | 22501 | 18 |
| 2517 | 22511 | 10 |
| 2518 | 22531 | 20 |
| 2519 | 22541 | 10 |
Questions
What is the 2516th prime number?
22501.
Which prime number is 22501?
22501 is the 2516th prime number.
What is the sum of the first 2516 primes?
26,569,739.