What is the 8993rd prime number?
The 8993rd prime number is 93103. The next prime is 93113 (a gap of 10) and the one before is 93097.
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 8993rd one is 93103.
- 2
93103 is prime because no prime up to ā93103 ā 305.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8993rd prime is close to 8993 Ć ln(8993) ā 81874, and here it is 93103.
- 4
93103 has no twin: neither 93101 nor 93105 is prime.
Primes around the 8993rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8990 | 93083 | 6 |
| 8991 | 93089 | 6 |
| 8992 | 93097 | 8 |
| 8993 | 93103 | 6 |
| 8994 | 93113 | 10 |
| 8995 | 93131 | 18 |
| 8996 | 93133 | 2 |
Questions
What is the 8993rd prime number?
93103.
Which prime number is 93103?
93103 is the 8993rd prime number.
What is the sum of the first 8993 primes?
396,567,306.