What is the 1560th prime number?
The 1560th prime number is 13109. The next prime is 13121 (a gap of 12) and the one before is 13103.
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 1560th one is 13109.
- 2
13109 is prime because no prime up to ā13109 ā 114.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1560th prime is close to 1560 Ć ln(1560) ā 11470, and here it is 13109.
- 4
13109 has no twin: neither 13107 nor 13111 is prime.
Primes around the 1560th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1557 | 13093 | 30 |
| 1558 | 13099 | 6 |
| 1559 | 13103 | 4 |
| 1560 | 13109 | 6 |
| 1561 | 13121 | 12 |
| 1562 | 13127 | 6 |
| 1563 | 13147 | 20 |
Questions
What is the 1560th prime number?
13109.
Which prime number is 13109?
13109 is the 1560th prime number.
What is the sum of the first 1560 primes?
9,566,841.