What is the 1559th prime number?
The 1559th prime number is 13103. The next prime is 13109 (a gap of 6) and the one before is 13099.
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 1559th one is 13103.
- 2
13103 is prime because no prime up to ā13103 ā 114.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1559th prime is close to 1559 Ć ln(1559) ā 11461, and here it is 13103.
- 4
13103 has no twin: neither 13101 nor 13105 is prime.
Primes around the 1559th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1556 | 13063 | 14 |
| 1557 | 13093 | 30 |
| 1558 | 13099 | 6 |
| 1559 | 13103 | 4 |
| 1560 | 13109 | 6 |
| 1561 | 13121 | 12 |
| 1562 | 13127 | 6 |
Questions
What is the 1559th prime number?
13103.
Which prime number is 13103?
13103 is the 1559th prime number.
What is the sum of the first 1559 primes?
9,553,732.