What is the 1410th prime number?
The 1410th prime number is 11777. The next prime is 11779 (a gap of 2) and the one before is 11743.
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 1410th one is 11777.
- 2
11777 is prime because no prime up to ā11777 ā 108.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1410th prime is close to 1410 Ć ln(1410) ā 10224, and here it is 11777.
- 4
11777 is a twin prime: 11777 and 11779 are both prime.
Primes around the 1410th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1407 | 11719 | 2 |
| 1408 | 11731 | 12 |
| 1409 | 11743 | 12 |
| 1410 | 11777 | 34 |
| 1411 | 11779 | 2 |
| 1412 | 11783 | 4 |
| 1413 | 11789 | 6 |
Questions
What is the 1410th prime number?
11777.
Which prime number is 11777?
11777 is the 1410th prime number.
What is the sum of the first 1410 primes?
7,701,703.