What is the 9773rd prime number?
The 9773rd prime number is 102059. The next prime is 102061 (a gap of 2) and the one before is 102043.
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 9773rd one is 102059.
- 2
102059 is prime because no prime up to ā102059 ā 319.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9773rd prime is close to 9773 Ć ln(9773) ā 89788, and here it is 102059.
- 4
102059 is a twin prime: 102059 and 102061 are both prime.
Primes around the 9773rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9770 | 102023 | 4 |
| 9771 | 102031 | 8 |
| 9772 | 102043 | 12 |
| 9773 | 102059 | 16 |
| 9774 | 102061 | 2 |
| 9775 | 102071 | 10 |
| 9776 | 102077 | 6 |
Questions
What is the 9773rd prime number?
102059.
Which prime number is 102059?
102059 is the 9773rd prime number.
What is the sum of the first 9773 primes?
472,690,852.