What is the 139th prime number?
The 139th prime number is 797. The next prime is 809 (a gap of 12) and the one before is 787.
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 139th one is 797.
- 2
797 is prime because no prime up to ā797 ā 28.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 139th prime is close to 139 Ć ln(139) ā 686, and here it is 797.
- 4
797 has no twin: neither 795 nor 799 is prime.
Primes around the 139th
| Position | Prime | Gap from the previous |
|---|---|---|
| 136 | 769 | 8 |
| 137 | 773 | 4 |
| 138 | 787 | 14 |
| 139 | 797 | 10 |
| 140 | 809 | 12 |
| 141 | 811 | 2 |
| 142 | 821 | 10 |
Questions
What is the 139th prime number?
797.
Which prime number is 797?
797 is the 139th prime number.
What is the sum of the first 139 primes?
50,078.