What is the 3679th prime number?
The 3679th prime number is 34439. The next prime is 34457 (a gap of 18) and the one before is 34429.
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 3679th one is 34439.
- 2
34439 is prime because no prime up to ā34439 ā 185.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3679th prime is close to 3679 Ć ln(3679) ā 30206, and here it is 34439.
- 4
34439 has no twin: neither 34437 nor 34441 is prime.
Primes around the 3679th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3676 | 34403 | 22 |
| 3677 | 34421 | 18 |
| 3678 | 34429 | 8 |
| 3679 | 34439 | 10 |
| 3680 | 34457 | 18 |
| 3681 | 34469 | 12 |
| 3682 | 34471 | 2 |
Questions
What is the 3679th prime number?
34439.
Which prime number is 34439?
34439 is the 3679th prime number.
What is the sum of the first 3679 primes?
59,665,800.