What is the 1554th prime number?
The 1554th prime number is 13043. The next prime is 13049 (a gap of 6) and the one before is 13037.
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 1554th one is 13043.
- 2
13043 is prime because no prime up to ā13043 ā 114.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1554th prime is close to 1554 Ć ln(1554) ā 11420, and here it is 13043.
- 4
13043 has no twin: neither 13041 nor 13045 is prime.
Primes around the 1554th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1551 | 13009 | 2 |
| 1552 | 13033 | 24 |
| 1553 | 13037 | 4 |
| 1554 | 13043 | 6 |
| 1555 | 13049 | 6 |
| 1556 | 13063 | 14 |
| 1557 | 13093 | 30 |
Questions
What is the 1554th prime number?
13043.
Which prime number is 13043?
13043 is the 1554th prime number.
What is the sum of the first 1554 primes?
9,488,325.