What is the 9903rd prime number?
The 9903rd prime number is 103643. The next prime is 103651 (a gap of 8) and the one before is 103619.
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 9903rd one is 103643.
- 2
103643 is prime because no prime up to ā103643 ā 321.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9903rd prime is close to 9903 Ć ln(9903) ā 91113, and here it is 103643.
- 4
103643 has no twin: neither 103641 nor 103645 is prime.
Primes around the 9903rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9900 | 103591 | 8 |
| 9901 | 103613 | 22 |
| 9902 | 103619 | 6 |
| 9903 | 103643 | 24 |
| 9904 | 103651 | 8 |
| 9905 | 103657 | 6 |
| 9906 | 103669 | 12 |
Questions
What is the 9903rd prime number?
103643.
Which prime number is 103643?
103643 is the 9903rd prime number.
What is the sum of the first 9903 primes?
486,056,808.