What is the 9783rd prime number?
The 9783rd prime number is 102149. The next prime is 102161 (a gap of 12) and the one before is 102139.
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 9783rd one is 102149.
- 2
102149 is prime because no prime up to ā102149 ā 319.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9783rd prime is close to 9783 Ć ln(9783) ā 89890, and here it is 102149.
- 4
102149 has no twin: neither 102147 nor 102151 is prime.
Primes around the 9783rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9780 | 102107 | 4 |
| 9781 | 102121 | 14 |
| 9782 | 102139 | 18 |
| 9783 | 102149 | 10 |
| 9784 | 102161 | 12 |
| 9785 | 102181 | 20 |
| 9786 | 102191 | 10 |
Questions
What is the 9783rd prime number?
102149.
Which prime number is 102149?
102149 is the 9783rd prime number.
What is the sum of the first 9783 primes?
473,711,860.