What is the 9608th prime number?
The 9608th prime number is 100207. The next prime is 100213 (a gap of 6) and the one before is 100193.
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 9608th one is 100207.
- 2
100207 is prime because no prime up to ā100207 ā 316.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9608th prime is close to 9608 Ć ln(9608) ā 88109, and here it is 100207.
- 4
100207 has no twin: neither 100205 nor 100209 is prime.
Primes around the 9608th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9605 | 100183 | 14 |
| 9606 | 100189 | 6 |
| 9607 | 100193 | 4 |
| 9608 | 100207 | 14 |
| 9609 | 100213 | 6 |
| 9610 | 100237 | 24 |
| 9611 | 100267 | 30 |
Questions
What is the 9608th prime number?
100207.
Which prime number is 100207?
100207 is the 9608th prime number.
What is the sum of the first 9608 primes?
455,998,363.