What is the 3907th prime number?
The 3907th prime number is 36847. The next prime is 36857 (a gap of 10) and the one before is 36833.
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 3907th one is 36847.
- 2
36847 is prime because no prime up to ā36847 ā 191.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3907th prime is close to 3907 Ć ln(3907) ā 32313, and here it is 36847.
- 4
36847 has no twin: neither 36845 nor 36849 is prime.
Primes around the 3907th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3904 | 36809 | 16 |
| 3905 | 36821 | 12 |
| 3906 | 36833 | 12 |
| 3907 | 36847 | 14 |
| 3908 | 36857 | 10 |
| 3909 | 36871 | 14 |
| 3910 | 36877 | 6 |
Questions
What is the 3907th prime number?
36847.
Which prime number is 36847?
36847 is the 3907th prime number.
What is the sum of the first 3907 primes?
67,795,716.