What is the 9610th prime number?
The 9610th prime number is 100237. The next prime is 100267 (a gap of 30) and the one before is 100213.
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 9610th one is 100237.
- 2
100237 is prime because no prime up to ā100237 ā 316.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9610th prime is close to 9610 Ć ln(9610) ā 88129, and here it is 100237.
- 4
100237 has no twin: neither 100235 nor 100239 is prime.
Primes around the 9610th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9607 | 100193 | 4 |
| 9608 | 100207 | 14 |
| 9609 | 100213 | 6 |
| 9610 | 100237 | 24 |
| 9611 | 100267 | 30 |
| 9612 | 100271 | 4 |
| 9613 | 100279 | 8 |
Questions
What is the 9610th prime number?
100237.
Which prime number is 100237?
100237 is the 9610th prime number.
What is the sum of the first 9610 primes?
456,198,813.