What is the 9607th prime number?
The 9607th prime number is 100193. The next prime is 100207 (a gap of 14) and the one before is 100189.
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 9607th one is 100193.
- 2
100193 is prime because no prime up to ā100193 ā 316.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9607th prime is close to 9607 Ć ln(9607) ā 88099, and here it is 100193.
- 4
100193 has no twin: neither 100191 nor 100195 is prime.
Primes around the 9607th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9604 | 100169 | 16 |
| 9605 | 100183 | 14 |
| 9606 | 100189 | 6 |
| 9607 | 100193 | 4 |
| 9608 | 100207 | 14 |
| 9609 | 100213 | 6 |
| 9610 | 100237 | 24 |
Questions
What is the 9607th prime number?
100193.
Which prime number is 100193?
100193 is the 9607th prime number.
What is the sum of the first 9607 primes?
455,898,156.