What is the 3937th prime number?
The 3937th prime number is 37159. The next prime is 37171 (a gap of 12) and the one before is 37139.
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 3937th one is 37159.
- 2
37159 is prime because no prime up to ā37159 ā 192.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3937th prime is close to 3937 Ć ln(3937) ā 32591, and here it is 37159.
- 4
37159 has no twin: neither 37157 nor 37161 is prime.
Primes around the 3937th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3934 | 37117 | 20 |
| 3935 | 37123 | 6 |
| 3936 | 37139 | 16 |
| 3937 | 37159 | 20 |
| 3938 | 37171 | 12 |
| 3939 | 37181 | 10 |
| 3940 | 37189 | 8 |
Questions
What is the 3937th prime number?
37159.
Which prime number is 37159?
37159 is the 3937th prime number.
What is the sum of the first 3937 primes?
68,905,446.