What is the 9774th prime number?
The 9774th prime number is 102061. The next prime is 102071 (a gap of 10) and the one before is 102059.
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 9774th one is 102061.
- 2
102061 is prime because no prime up to ā102061 ā 319.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9774th prime is close to 9774 Ć ln(9774) ā 89798, and here it is 102061.
- 4
102061 is a twin prime: 102059 and 102061 are both prime.
Primes around the 9774th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9771 | 102031 | 8 |
| 9772 | 102043 | 12 |
| 9773 | 102059 | 16 |
| 9774 | 102061 | 2 |
| 9775 | 102071 | 10 |
| 9776 | 102077 | 6 |
| 9777 | 102079 | 2 |
Questions
What is the 9774th prime number?
102061.
Which prime number is 102061?
102061 is the 9774th prime number.
What is the sum of the first 9774 primes?
472,792,913.