What is the 1510th prime number?
The 1510th prime number is 12641. The next prime is 12647 (a gap of 6) and the one before is 12637.
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 1510th one is 12641.
- 2
12641 is prime because no prime up to ā12641 ā 112.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1510th prime is close to 1510 Ć ln(1510) ā 11053, and here it is 12641.
- 4
12641 has no twin: neither 12639 nor 12643 is prime.
Primes around the 1510th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1507 | 12613 | 2 |
| 1508 | 12619 | 6 |
| 1509 | 12637 | 18 |
| 1510 | 12641 | 4 |
| 1511 | 12647 | 6 |
| 1512 | 12653 | 6 |
| 1513 | 12659 | 6 |
Questions
What is the 1510th prime number?
12641.
Which prime number is 12641?
12641 is the 1510th prime number.
What is the sum of the first 1510 primes?
8,922,677.