What is the 1555th prime number?
The 1555th prime number is 13049. The next prime is 13063 (a gap of 14) and the one before is 13043.
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 1555th one is 13049.
- 2
13049 is prime because no prime up to ā13049 ā 114.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1555th prime is close to 1555 Ć ln(1555) ā 11428, and here it is 13049.
- 4
13049 has no twin: neither 13047 nor 13051 is prime.
Primes around the 1555th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1552 | 13033 | 24 |
| 1553 | 13037 | 4 |
| 1554 | 13043 | 6 |
| 1555 | 13049 | 6 |
| 1556 | 13063 | 14 |
| 1557 | 13093 | 30 |
| 1558 | 13099 | 6 |
Questions
What is the 1555th prime number?
13049.
Which prime number is 13049?
13049 is the 1555th prime number.
What is the sum of the first 1555 primes?
9,501,374.