What is the 9778th prime number?
The 9778th prime number is 102101. The next prime is 102103 (a gap of 2) and the one before is 102079.
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 9778th one is 102101.
- 2
102101 is prime because no prime up to ā102101 ā 319.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9778th prime is close to 9778 Ć ln(9778) ā 89839, and here it is 102101.
- 4
102101 is a twin prime: 102101 and 102103 are both prime.
Primes around the 9778th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9775 | 102071 | 10 |
| 9776 | 102077 | 6 |
| 9777 | 102079 | 2 |
| 9778 | 102101 | 22 |
| 9779 | 102103 | 2 |
| 9780 | 102107 | 4 |
| 9781 | 102121 | 14 |
Questions
What is the 9778th prime number?
102101.
Which prime number is 102101?
102101 is the 9778th prime number.
What is the sum of the first 9778 primes?
473,201,241.