What is the 1507th prime number?
The 1507th prime number is 12613. The next prime is 12619 (a gap of 6) and the one before is 12611.
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 1507th one is 12613.
- 2
12613 is prime because no prime up to ā12613 ā 112.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1507th prime is close to 1507 Ć ln(1507) ā 11028, and here it is 12613.
- 4
12613 is a twin prime: 12611 and 12613 are both prime.
Primes around the 1507th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1504 | 12589 | 6 |
| 1505 | 12601 | 12 |
| 1506 | 12611 | 10 |
| 1507 | 12613 | 2 |
| 1508 | 12619 | 6 |
| 1509 | 12637 | 18 |
| 1510 | 12641 | 4 |
Questions
What is the 1507th prime number?
12613.
Which prime number is 12613?
12613 is the 1507th prime number.
What is the sum of the first 1507 primes?
8,884,780.