What is the 1561st prime number?
The 1561st prime number is 13121. The next prime is 13127 (a gap of 6) and the one before is 13109.
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 1561st one is 13121.
- 2
13121 is prime because no prime up to ā13121 ā 114.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1561st prime is close to 1561 Ć ln(1561) ā 11478, and here it is 13121.
- 4
13121 has no twin: neither 13119 nor 13123 is prime.
Primes around the 1561st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1558 | 13099 | 6 |
| 1559 | 13103 | 4 |
| 1560 | 13109 | 6 |
| 1561 | 13121 | 12 |
| 1562 | 13127 | 6 |
| 1563 | 13147 | 20 |
| 1564 | 13151 | 4 |
Questions
What is the 1561st prime number?
13121.
Which prime number is 13121?
13121 is the 1561st prime number.
What is the sum of the first 1561 primes?
9,579,962.