What is the 130th prime number?
The 130th prime number is 733. The next prime is 739 (a gap of 6) and the one before is 727.
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 130th one is 733.
- 2
733 is prime because no prime up to ā733 ā 27.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 130th prime is close to 130 Ć ln(130) ā 633, and here it is 733.
- 4
733 has no twin: neither 731 nor 735 is prime.
Primes around the 130th
| Position | Prime | Gap from the previous |
|---|---|---|
| 127 | 709 | 8 |
| 128 | 719 | 10 |
| 129 | 727 | 8 |
| 130 | 733 | 6 |
| 131 | 739 | 6 |
| 132 | 743 | 4 |
| 133 | 751 | 8 |
Questions
What is the 130th prime number?
733.
Which prime number is 733?
733 is the 130th prime number.
What is the sum of the first 130 primes?
43,201.