What is the 9403rd prime number?
The 9403rd prime number is 97843. The next prime is 97847 (a gap of 4) and the one before is 97841.
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 9403rd one is 97843.
- 2
97843 is prime because no prime up to ā97843 ā 312.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9403rd prime is close to 9403 Ć ln(9403) ā 86026, and here it is 97843.
- 4
97843 is a twin prime: 97841 and 97843 are both prime.
Primes around the 9403rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9400 | 97813 | 24 |
| 9401 | 97829 | 16 |
| 9402 | 97841 | 12 |
| 9403 | 97843 | 2 |
| 9404 | 97847 | 4 |
| 9405 | 97849 | 2 |
| 9406 | 97859 | 10 |
Questions
What is the 9403rd prime number?
97843.
Which prime number is 97843?
97843 is the 9403rd prime number.
What is the sum of the first 9403 primes?
435,698,416.