What is the 3670th prime number?
The 3670th prime number is 34337. The next prime is 34351 (a gap of 14) and the one before is 34327.
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 3670th one is 34337.
- 2
34337 is prime because no prime up to ā34337 ā 185.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3670th prime is close to 3670 Ć ln(3670) ā 30123, and here it is 34337.
- 4
34337 has no twin: neither 34335 nor 34339 is prime.
Primes around the 3670th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3667 | 34313 | 10 |
| 3668 | 34319 | 6 |
| 3669 | 34327 | 8 |
| 3670 | 34337 | 10 |
| 3671 | 34351 | 14 |
| 3672 | 34361 | 10 |
| 3673 | 34367 | 6 |
Questions
What is the 3670th prime number?
34337.
Which prime number is 34337?
34337 is the 3670th prime number.
What is the sum of the first 3670 primes?
59,356,279.