What is the 1349th prime number?
The 1349th prime number is 11131. The next prime is 11149 (a gap of 18) and the one before is 11119.
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 1349th one is 11131.
- 2
11131 is prime because no prime up to ā11131 ā 105.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1349th prime is close to 1349 Ć ln(1349) ā 9722, and here it is 11131.
- 4
11131 has no twin: neither 11129 nor 11133 is prime.
Primes around the 1349th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1346 | 11113 | 20 |
| 1347 | 11117 | 4 |
| 1348 | 11119 | 2 |
| 1349 | 11131 | 12 |
| 1350 | 11149 | 18 |
| 1351 | 11159 | 10 |
| 1352 | 11161 | 2 |
Questions
What is the 1349th prime number?
11131.
Which prime number is 11131?
11131 is the 1349th prime number.
What is the sum of the first 1349 primes?
7,003,662.