What is the 3671st prime number?
The 3671st prime number is 34351. The next prime is 34361 (a gap of 10) and the one before is 34337.
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 3671st one is 34351.
- 2
34351 is prime because no prime up to ā34351 ā 185.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3671st prime is close to 3671 Ć ln(3671) ā 30132, and here it is 34351.
- 4
34351 has no twin: neither 34349 nor 34353 is prime.
Primes around the 3671st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3668 | 34319 | 6 |
| 3669 | 34327 | 8 |
| 3670 | 34337 | 10 |
| 3671 | 34351 | 14 |
| 3672 | 34361 | 10 |
| 3673 | 34367 | 6 |
| 3674 | 34369 | 2 |
Questions
What is the 3671st prime number?
34351.
Which prime number is 34351?
34351 is the 3671st prime number.
What is the sum of the first 3671 primes?
59,390,630.