What is the 1506th prime number?
The 1506th prime number is 12611. The next prime is 12613 (a gap of 2) and the one before is 12601.
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 1506th one is 12611.
- 2
12611 is prime because no prime up to ā12611 ā 112.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1506th prime is close to 1506 Ć ln(1506) ā 11020, and here it is 12611.
- 4
12611 is a twin prime: 12611 and 12613 are both prime.
Primes around the 1506th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1503 | 12583 | 6 |
| 1504 | 12589 | 6 |
| 1505 | 12601 | 12 |
| 1506 | 12611 | 10 |
| 1507 | 12613 | 2 |
| 1508 | 12619 | 6 |
| 1509 | 12637 | 18 |
Questions
What is the 1506th prime number?
12611.
Which prime number is 12611?
12611 is the 1506th prime number.
What is the sum of the first 1506 primes?
8,872,167.