What is the 9614th prime number?
The 9614th prime number is 100291. The next prime is 100297 (a gap of 6) and the one before is 100279.
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 9614th one is 100291.
- 2
100291 is prime because no prime up to ā100291 ā 316.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9614th prime is close to 9614 Ć ln(9614) ā 88170, and here it is 100291.
- 4
100291 has no twin: neither 100289 nor 100293 is prime.
Primes around the 9614th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9611 | 100267 | 30 |
| 9612 | 100271 | 4 |
| 9613 | 100279 | 8 |
| 9614 | 100291 | 12 |
| 9615 | 100297 | 6 |
| 9616 | 100313 | 16 |
| 9617 | 100333 | 20 |
Questions
What is the 9614th prime number?
100291.
Which prime number is 100291?
100291 is the 9614th prime number.
What is the sum of the first 9614 primes?
456,599,921.