What is the 1552nd prime number?
The 1552nd prime number is 13033. The next prime is 13037 (a gap of 4) and the one before is 13009.
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 1552nd one is 13033.
- 2
13033 is prime because no prime up to ā13033 ā 114.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1552nd prime is close to 1552 Ć ln(1552) ā 11403, and here it is 13033.
- 4
13033 has no twin: neither 13031 nor 13035 is prime.
Primes around the 1552nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1549 | 13003 | 2 |
| 1550 | 13007 | 4 |
| 1551 | 13009 | 2 |
| 1552 | 13033 | 24 |
| 1553 | 13037 | 4 |
| 1554 | 13043 | 6 |
| 1555 | 13049 | 6 |
Questions
What is the 1552nd prime number?
13033.
Which prime number is 13033?
13033 is the 1552nd prime number.
What is the sum of the first 1552 primes?
9,462,245.