What is the 1562nd prime number?
The 1562nd prime number is 13127. The next prime is 13147 (a gap of 20) and the one before is 13121.
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 1562nd one is 13127.
- 2
13127 is prime because no prime up to ā13127 ā 114.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1562nd prime is close to 1562 Ć ln(1562) ā 11487, and here it is 13127.
- 4
13127 has no twin: neither 13125 nor 13129 is prime.
Primes around the 1562nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1559 | 13103 | 4 |
| 1560 | 13109 | 6 |
| 1561 | 13121 | 12 |
| 1562 | 13127 | 6 |
| 1563 | 13147 | 20 |
| 1564 | 13151 | 4 |
| 1565 | 13159 | 8 |
Questions
What is the 1562nd prime number?
13127.
Which prime number is 13127?
13127 is the 1562nd prime number.
What is the sum of the first 1562 primes?
9,593,089.