What is the 4137th prime number?
The 4137th prime number is 39301. The next prime is 39313 (a gap of 12) and the one before is 39293.
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 4137th one is 39301.
- 2
39301 is prime because no prime up to ā39301 ā 198.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4137th prime is close to 4137 Ć ln(4137) ā 34452, and here it is 39301.
- 4
39301 has no twin: neither 39299 nor 39303 is prime.
Primes around the 4137th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4134 | 39241 | 2 |
| 4135 | 39251 | 10 |
| 4136 | 39293 | 42 |
| 4137 | 39301 | 8 |
| 4138 | 39313 | 12 |
| 4139 | 39317 | 4 |
| 4140 | 39323 | 6 |
Questions
What is the 4137th prime number?
39301.
Which prime number is 39301?
39301 is the 4137th prime number.
What is the sum of the first 4137 primes?
76,553,532.