What is the 1295th prime number?
The 1295th prime number is 10613. The next prime is 10627 (a gap of 14) and the one before is 10607.
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 1295th one is 10613.
- 2
10613 is prime because no prime up to ā10613 ā 103.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1295th prime is close to 1295 Ć ln(1295) ā 9280, and here it is 10613.
- 4
10613 has no twin: neither 10611 nor 10615 is prime.
Primes around the 1295th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1292 | 10597 | 8 |
| 1293 | 10601 | 4 |
| 1294 | 10607 | 6 |
| 1295 | 10613 | 6 |
| 1296 | 10627 | 14 |
| 1297 | 10631 | 4 |
| 1298 | 10639 | 8 |
Questions
What is the 1295th prime number?
10613.
Which prime number is 10613?
10613 is the 1295th prime number.
What is the sum of the first 1295 primes?
6,416,292.