What is the 1294th prime number?
The 1294th prime number is 10607. The next prime is 10613 (a gap of 6) and the one before is 10601.
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 1294th one is 10607.
- 2
10607 is prime because no prime up to ā10607 ā 102.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1294th prime is close to 1294 Ć ln(1294) ā 9272, and here it is 10607.
- 4
10607 has no twin: neither 10605 nor 10609 is prime.
Primes around the 1294th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1291 | 10589 | 22 |
| 1292 | 10597 | 8 |
| 1293 | 10601 | 4 |
| 1294 | 10607 | 6 |
| 1295 | 10613 | 6 |
| 1296 | 10627 | 14 |
| 1297 | 10631 | 4 |
Questions
What is the 1294th prime number?
10607.
Which prime number is 10607?
10607 is the 1294th prime number.
What is the sum of the first 1294 primes?
6,405,679.