What is the 9593rd prime number?
The 9593rd prime number is 100003. The next prime is 100019 (a gap of 16) and the one before is 99991.
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 9593rd one is 100003.
- 2
100003 is prime because no prime up to ā100003 ā 316.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9593rd prime is close to 9593 Ć ln(9593) ā 87956, and here it is 100003.
- 4
100003 has no twin: neither 100001 nor 100005 is prime.
Primes around the 9593rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9590 | 99971 | 10 |
| 9591 | 99989 | 18 |
| 9592 | 99991 | 2 |
| 9593 | 100003 | 12 |
| 9594 | 100019 | 16 |
| 9595 | 100043 | 24 |
| 9596 | 100049 | 6 |
Questions
What is the 9593rd prime number?
100003.
Which prime number is 100003?
100003 is the 9593rd prime number.
What is the sum of the first 9593 primes?
454,496,540.