What is the 3415th prime number?
The 3415th prime number is 31751. The next prime is 31769 (a gap of 18) and the one before is 31741.
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 3415th one is 31751.
- 2
31751 is prime because no prime up to ā31751 ā 178.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3415th prime is close to 3415 Ć ln(3415) ā 27784, and here it is 31751.
- 4
31751 has no twin: neither 31749 nor 31753 is prime.
Primes around the 3415th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3412 | 31727 | 4 |
| 3413 | 31729 | 2 |
| 3414 | 31741 | 12 |
| 3415 | 31751 | 10 |
| 3416 | 31769 | 18 |
| 3417 | 31771 | 2 |
| 3418 | 31793 | 22 |
Questions
What is the 3415th prime number?
31751.
Which prime number is 31751?
31751 is the 3415th prime number.
What is the sum of the first 3415 primes?
50,925,662.