What is the 3137th prime number?
The 3137th prime number is 28807. The next prime is 28813 (a gap of 6) and the one before is 28793.
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 3137th one is 28807.
- 2
28807 is prime because no prime up to ā28807 ā 169.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3137th prime is close to 3137 Ć ln(3137) ā 25256, and here it is 28807.
- 4
28807 has no twin: neither 28805 nor 28809 is prime.
Primes around the 3137th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3134 | 28771 | 12 |
| 3135 | 28789 | 18 |
| 3136 | 28793 | 4 |
| 3137 | 28807 | 14 |
| 3138 | 28813 | 6 |
| 3139 | 28817 | 4 |
| 3140 | 28837 | 20 |
Questions
What is the 3137th prime number?
28807.
Which prime number is 28807?
28807 is the 3137th prime number.
What is the sum of the first 3137 primes?
42,502,224.