What is the 9772nd prime number?
The 9772nd prime number is 102043. The next prime is 102059 (a gap of 16) and the one before is 102031.
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 9772nd one is 102043.
- 2
102043 is prime because no prime up to ā102043 ā 319.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9772nd prime is close to 9772 Ć ln(9772) ā 89778, and here it is 102043.
- 4
102043 has no twin: neither 102041 nor 102045 is prime.
Primes around the 9772nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9769 | 102019 | 6 |
| 9770 | 102023 | 4 |
| 9771 | 102031 | 8 |
| 9772 | 102043 | 12 |
| 9773 | 102059 | 16 |
| 9774 | 102061 | 2 |
| 9775 | 102071 | 10 |
Questions
What is the 9772nd prime number?
102043.
Which prime number is 102043?
102043 is the 9772nd prime number.
What is the sum of the first 9772 primes?
472,588,793.