What is the 515th prime number?
The 515th prime number is 3691. The next prime is 3697 (a gap of 6) and the one before is 3677.
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 515th one is 3691.
- 2
3691 is prime because no prime up to ā3691 ā 60.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 515th prime is close to 515 Ć ln(515) ā 3216, and here it is 3691.
- 4
3691 has no twin: neither 3689 nor 3693 is prime.
Primes around the 515th
| Position | Prime | Gap from the previous |
|---|---|---|
| 512 | 3671 | 12 |
| 513 | 3673 | 2 |
| 514 | 3677 | 4 |
| 515 | 3691 | 14 |
| 516 | 3697 | 6 |
| 517 | 3701 | 4 |
| 518 | 3709 | 8 |
Questions
What is the 515th prime number?
3691.
Which prime number is 3691?
3691 is the 515th prime number.
What is the sum of the first 515 primes?
879,192.