What is the 9613th prime number?
The 9613th prime number is 100279. The next prime is 100291 (a gap of 12) and the one before is 100271.
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 9613th one is 100279.
- 2
100279 is prime because no prime up to ā100279 ā 316.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9613th prime is close to 9613 Ć ln(9613) ā 88160, and here it is 100279.
- 4
100279 has no twin: neither 100277 nor 100281 is prime.
Primes around the 9613th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9610 | 100237 | 24 |
| 9611 | 100267 | 30 |
| 9612 | 100271 | 4 |
| 9613 | 100279 | 8 |
| 9614 | 100291 | 12 |
| 9615 | 100297 | 6 |
| 9616 | 100313 | 16 |
Questions
What is the 9613th prime number?
100279.
Which prime number is 100279?
100279 is the 9613th prime number.
What is the sum of the first 9613 primes?
456,499,630.