What is the 112th prime number?
The 112th prime number is 613. The next prime is 617 (a gap of 4) and the one before is 607.
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 112th one is 613.
- 2
613 is prime because no prime up to ā613 ā 24.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 112th prime is close to 112 Ć ln(112) ā 528, and here it is 613.
- 4
613 has no twin: neither 611 nor 615 is prime.
Primes around the 112th
| Position | Prime | Gap from the previous |
|---|---|---|
| 109 | 599 | 6 |
| 110 | 601 | 2 |
| 111 | 607 | 6 |
| 112 | 613 | 6 |
| 113 | 617 | 4 |
| 114 | 619 | 2 |
| 115 | 631 | 12 |
Questions
What is the 112th prime number?
613.
Which prime number is 613?
613 is the 112th prime number.
What is the sum of the first 112 primes?
31,117.