What is the 1508th prime number?
The 1508th prime number is 12619. The next prime is 12637 (a gap of 18) and the one before is 12613.
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 1508th one is 12619.
- 2
12619 is prime because no prime up to ā12619 ā 112.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1508th prime is close to 1508 Ć ln(1508) ā 11036, and here it is 12619.
- 4
12619 has no twin: neither 12617 nor 12621 is prime.
Primes around the 1508th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1505 | 12601 | 12 |
| 1506 | 12611 | 10 |
| 1507 | 12613 | 2 |
| 1508 | 12619 | 6 |
| 1509 | 12637 | 18 |
| 1510 | 12641 | 4 |
| 1511 | 12647 | 6 |
Questions
What is the 1508th prime number?
12619.
Which prime number is 12619?
12619 is the 1508th prime number.
What is the sum of the first 1508 primes?
8,897,399.