What is the 1296th prime number?
The 1296th prime number is 10627. The next prime is 10631 (a gap of 4) and the one before is 10613.
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 1296th one is 10627.
- 2
10627 is prime because no prime up to ā10627 ā 103.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1296th prime is close to 1296 Ć ln(1296) ā 9288, and here it is 10627.
- 4
10627 has no twin: neither 10625 nor 10629 is prime.
Primes around the 1296th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1293 | 10601 | 4 |
| 1294 | 10607 | 6 |
| 1295 | 10613 | 6 |
| 1296 | 10627 | 14 |
| 1297 | 10631 | 4 |
| 1298 | 10639 | 8 |
| 1299 | 10651 | 12 |
Questions
What is the 1296th prime number?
10627.
Which prime number is 10627?
10627 is the 1296th prime number.
What is the sum of the first 1296 primes?
6,426,919.