What is the 2495th prime number?
The 2495th prime number is 22277. The next prime is 22279 (a gap of 2) and the one before is 22273.
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 2495th one is 22277.
- 2
22277 is prime because no prime up to ā22277 ā 149.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2495th prime is close to 2495 Ć ln(2495) ā 19516, and here it is 22277.
- 4
22277 is a twin prime: 22277 and 22279 are both prime.
Primes around the 2495th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2492 | 22259 | 12 |
| 2493 | 22271 | 12 |
| 2494 | 22273 | 2 |
| 2495 | 22277 | 4 |
| 2496 | 22279 | 2 |
| 2497 | 22283 | 4 |
| 2498 | 22291 | 8 |
Questions
What is the 2495th prime number?
22277.
Which prime number is 22277?
22277 is the 2495th prime number.
What is the sum of the first 2495 primes?
26,099,562.