What is the 116th prime number?
The 116th prime number is 641. The next prime is 643 (a gap of 2) and the one before is 631.
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 116th one is 641.
- 2
641 is prime because no prime up to ā641 ā 25.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 116th prime is close to 116 Ć ln(116) ā 551, and here it is 641.
- 4
641 is a twin prime: 641 and 643 are both prime.
Primes around the 116th
| Position | Prime | Gap from the previous |
|---|---|---|
| 113 | 617 | 4 |
| 114 | 619 | 2 |
| 115 | 631 | 12 |
| 116 | 641 | 10 |
| 117 | 643 | 2 |
| 118 | 647 | 4 |
| 119 | 653 | 6 |
Questions
What is the 116th prime number?
641.
Which prime number is 641?
641 is the 116th prime number.
What is the sum of the first 116 primes?
33,625.