What is the 3672nd prime number?
The 3672nd prime number is 34361. The next prime is 34367 (a gap of 6) and the one before is 34351.
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 3672nd one is 34361.
- 2
34361 is prime because no prime up to ā34361 ā 185.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3672nd prime is close to 3672 Ć ln(3672) ā 30142, and here it is 34361.
- 4
34361 has no twin: neither 34359 nor 34363 is prime.
Primes around the 3672nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3669 | 34327 | 8 |
| 3670 | 34337 | 10 |
| 3671 | 34351 | 14 |
| 3672 | 34361 | 10 |
| 3673 | 34367 | 6 |
| 3674 | 34369 | 2 |
| 3675 | 34381 | 12 |
Questions
What is the 3672nd prime number?
34361.
Which prime number is 34361?
34361 is the 3672nd prime number.
What is the sum of the first 3672 primes?
59,424,991.