What is the 9590th prime number?
The 9590th prime number is 99971. The next prime is 99989 (a gap of 18) and the one before is 99961.
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 9590th one is 99971.
- 2
99971 is prime because no prime up to ā99971 ā 316.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9590th prime is close to 9590 Ć ln(9590) ā 87926, and here it is 99971.
- 4
99971 has no twin: neither 99969 nor 99973 is prime.
Primes around the 9590th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9587 | 99923 | 16 |
| 9588 | 99929 | 6 |
| 9589 | 99961 | 32 |
| 9590 | 99971 | 10 |
| 9591 | 99989 | 18 |
| 9592 | 99991 | 2 |
| 9593 | 100003 | 12 |
Questions
What is the 9590th prime number?
99971.
Which prime number is 99971?
99971 is the 9590th prime number.
What is the sum of the first 9590 primes?
454,196,557.