What is the 1495th prime number?
The 1495th prime number is 12517. The next prime is 12527 (a gap of 10) and the one before is 12511.
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 1495th one is 12517.
- 2
12517 is prime because no prime up to ā12517 ā 111.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1495th prime is close to 1495 Ć ln(1495) ā 10928, and here it is 12517.
- 4
12517 has no twin: neither 12515 nor 12519 is prime.
Primes around the 1495th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1492 | 12497 | 6 |
| 1493 | 12503 | 6 |
| 1494 | 12511 | 8 |
| 1495 | 12517 | 6 |
| 1496 | 12527 | 10 |
| 1497 | 12539 | 12 |
| 1498 | 12541 | 2 |
Questions
What is the 1495th prime number?
12517.
Which prime number is 12517?
12517 is the 1495th prime number.
What is the sum of the first 1495 primes?
8,733,930.