What is the 129th prime number?
The 129th prime number is 727. The next prime is 733 (a gap of 6) and the one before is 719.
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 129th one is 727.
- 2
727 is prime because no prime up to ā727 ā 26.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 129th prime is close to 129 Ć ln(129) ā 627, and here it is 727.
- 4
727 has no twin: neither 725 nor 729 is prime.
Primes around the 129th
| Position | Prime | Gap from the previous |
|---|---|---|
| 126 | 701 | 10 |
| 127 | 709 | 8 |
| 128 | 719 | 10 |
| 129 | 727 | 8 |
| 130 | 733 | 6 |
| 131 | 739 | 6 |
| 132 | 743 | 4 |
Questions
What is the 129th prime number?
727.
Which prime number is 727?
727 is the 129th prime number.
What is the sum of the first 129 primes?
42,468.