What is the 1351st prime number?
The 1351st prime number is 11159. The next prime is 11161 (a gap of 2) and the one before is 11149.
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 1351st one is 11159.
- 2
11159 is prime because no prime up to ā11159 ā 105.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1351st prime is close to 1351 Ć ln(1351) ā 9739, and here it is 11159.
- 4
11159 is a twin prime: 11159 and 11161 are both prime.
Primes around the 1351st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1348 | 11119 | 2 |
| 1349 | 11131 | 12 |
| 1350 | 11149 | 18 |
| 1351 | 11159 | 10 |
| 1352 | 11161 | 2 |
| 1353 | 11171 | 10 |
| 1354 | 11173 | 2 |
Questions
What is the 1351st prime number?
11159.
Which prime number is 11159?
11159 is the 1351st prime number.
What is the sum of the first 1351 primes?
7,025,970.