What is the 9530th prime number?
The 9530th prime number is 99259. The next prime is 99277 (a gap of 18) and the one before is 99257.
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 9530th one is 99259.
- 2
99259 is prime because no prime up to ā99259 ā 315.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9530th prime is close to 9530 Ć ln(9530) ā 87316, and here it is 99259.
- 4
99259 is a twin prime: 99257 and 99259 are both prime.
Primes around the 9530th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9527 | 99241 | 8 |
| 9528 | 99251 | 10 |
| 9529 | 99257 | 6 |
| 9530 | 99259 | 2 |
| 9531 | 99277 | 18 |
| 9532 | 99289 | 12 |
| 9533 | 99317 | 28 |
Questions
What is the 9530th prime number?
99259.
Which prime number is 99259?
99259 is the 9530th prime number.
What is the sum of the first 9530 primes?
448,218,341.