What is the 1551st prime number?
The 1551st prime number is 13009. The next prime is 13033 (a gap of 24) and the one before is 13007.
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 1551st one is 13009.
- 2
13009 is prime because no prime up to ā13009 ā 114.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1551st prime is close to 1551 Ć ln(1551) ā 11395, and here it is 13009.
- 4
13009 is a twin prime: 13007 and 13009 are both prime.
Primes around the 1551st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1548 | 13001 | 18 |
| 1549 | 13003 | 2 |
| 1550 | 13007 | 4 |
| 1551 | 13009 | 2 |
| 1552 | 13033 | 24 |
| 1553 | 13037 | 4 |
| 1554 | 13043 | 6 |
Questions
What is the 1551st prime number?
13009.
Which prime number is 13009?
13009 is the 1551st prime number.
What is the sum of the first 1551 primes?
9,449,212.