What is the 9387th prime number?
The 9387th prime number is 97607. The next prime is 97609 (a gap of 2) and the one before is 97583.
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 9387th one is 97607.
- 2
97607 is prime because no prime up to ā97607 ā 312.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9387th prime is close to 9387 Ć ln(9387) ā 85864, and here it is 97607.
- 4
97607 is a twin prime: 97607 and 97609 are both prime.
Primes around the 9387th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9384 | 97577 | 6 |
| 9385 | 97579 | 2 |
| 9386 | 97583 | 4 |
| 9387 | 97607 | 24 |
| 9388 | 97609 | 2 |
| 9389 | 97613 | 4 |
| 9390 | 97649 | 36 |
Questions
What is the 9387th prime number?
97607.
Which prime number is 97607?
97607 is the 9387th prime number.
What is the sum of the first 9387 primes?
434,134,644.