What is the 1558th prime number?
The 1558th prime number is 13099. The next prime is 13103 (a gap of 4) and the one before is 13093.
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 1558th one is 13099.
- 2
13099 is prime because no prime up to ā13099 ā 114.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1558th prime is close to 1558 Ć ln(1558) ā 11453, and here it is 13099.
- 4
13099 has no twin: neither 13097 nor 13101 is prime.
Primes around the 1558th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1555 | 13049 | 6 |
| 1556 | 13063 | 14 |
| 1557 | 13093 | 30 |
| 1558 | 13099 | 6 |
| 1559 | 13103 | 4 |
| 1560 | 13109 | 6 |
| 1561 | 13121 | 12 |
Questions
What is the 1558th prime number?
13099.
Which prime number is 13099?
13099 is the 1558th prime number.
What is the sum of the first 1558 primes?
9,540,629.