What is the 1350th prime number?
The 1350th prime number is 11149. The next prime is 11159 (a gap of 10) and the one before is 11131.
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 1350th one is 11149.
- 2
11149 is prime because no prime up to ā11149 ā 105.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1350th prime is close to 1350 Ć ln(1350) ā 9731, and here it is 11149.
- 4
11149 has no twin: neither 11147 nor 11151 is prime.
Primes around the 1350th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1347 | 11117 | 4 |
| 1348 | 11119 | 2 |
| 1349 | 11131 | 12 |
| 1350 | 11149 | 18 |
| 1351 | 11159 | 10 |
| 1352 | 11161 | 2 |
| 1353 | 11171 | 10 |
Questions
What is the 1350th prime number?
11149.
Which prime number is 11149?
11149 is the 1350th prime number.
What is the sum of the first 1350 primes?
7,014,811.