What is the 3139th prime number?
The 3139th prime number is 28817. The next prime is 28837 (a gap of 20) and the one before is 28813.
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 3139th one is 28817.
- 2
28817 is prime because no prime up to ā28817 ā 169.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3139th prime is close to 3139 Ć ln(3139) ā 25274, and here it is 28817.
- 4
28817 has no twin: neither 28815 nor 28819 is prime.
Primes around the 3139th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3136 | 28793 | 4 |
| 3137 | 28807 | 14 |
| 3138 | 28813 | 6 |
| 3139 | 28817 | 4 |
| 3140 | 28837 | 20 |
| 3141 | 28843 | 6 |
| 3142 | 28859 | 16 |
Questions
What is the 3139th prime number?
28817.
Which prime number is 28817?
28817 is the 3139th prime number.
What is the sum of the first 3139 primes?
42,559,854.