What is the 1557th prime number?
The 1557th prime number is 13093. The next prime is 13099 (a gap of 6) and the one before is 13063.
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 1557th one is 13093.
- 2
13093 is prime because no prime up to ā13093 ā 114.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1557th prime is close to 1557 Ć ln(1557) ā 11445, and here it is 13093.
- 4
13093 has no twin: neither 13091 nor 13095 is prime.
Primes around the 1557th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1554 | 13043 | 6 |
| 1555 | 13049 | 6 |
| 1556 | 13063 | 14 |
| 1557 | 13093 | 30 |
| 1558 | 13099 | 6 |
| 1559 | 13103 | 4 |
| 1560 | 13109 | 6 |
Questions
What is the 1557th prime number?
13093.
Which prime number is 13093?
13093 is the 1557th prime number.
What is the sum of the first 1557 primes?
9,527,530.