What is the 136th prime number?
The 136th prime number is 769. The next prime is 773 (a gap of 4) and the one before is 761.
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 136th one is 769.
- 2
769 is prime because no prime up to ā769 ā 27.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 136th prime is close to 136 Ć ln(136) ā 668, and here it is 769.
- 4
769 has no twin: neither 767 nor 771 is prime.
Primes around the 136th
| Position | Prime | Gap from the previous |
|---|---|---|
| 133 | 751 | 8 |
| 134 | 757 | 6 |
| 135 | 761 | 4 |
| 136 | 769 | 8 |
| 137 | 773 | 4 |
| 138 | 787 | 14 |
| 139 | 797 | 10 |
Questions
What is the 136th prime number?
769.
Which prime number is 769?
769 is the 136th prime number.
What is the sum of the first 136 primes?
47,721.