What is the 3901st prime number?
The 3901st prime number is 36787. The next prime is 36791 (a gap of 4) and the one before is 36781.
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 3901st one is 36787.
- 2
36787 is prime because no prime up to ā36787 ā 191.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3901st prime is close to 3901 Ć ln(3901) ā 32257, and here it is 36787.
- 4
36787 has no twin: neither 36785 nor 36789 is prime.
Primes around the 3901st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3898 | 36767 | 6 |
| 3899 | 36779 | 12 |
| 3900 | 36781 | 2 |
| 3901 | 36787 | 6 |
| 3902 | 36791 | 4 |
| 3903 | 36793 | 2 |
| 3904 | 36809 | 16 |
Questions
What is the 3901st prime number?
36787.
Which prime number is 36787?
36787 is the 3901st prime number.
What is the sum of the first 3901 primes?
67,574,822.