What is the 9661st prime number?
The 9661st prime number is 100829. The next prime is 100847 (a gap of 18) and the one before is 100823.
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 9661st one is 100829.
- 2
100829 is prime because no prime up to ā100829 ā 317.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9661st prime is close to 9661 Ć ln(9661) ā 88648, and here it is 100829.
- 4
100829 has no twin: neither 100827 nor 100831 is prime.
Primes around the 9661st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9658 | 100801 | 2 |
| 9659 | 100811 | 10 |
| 9660 | 100823 | 12 |
| 9661 | 100829 | 6 |
| 9662 | 100847 | 18 |
| 9663 | 100853 | 6 |
| 9664 | 100907 | 54 |
Questions
What is the 9661st prime number?
100829.
Which prime number is 100829?
100829 is the 9661st prime number.
What is the sum of the first 9661 primes?
461,326,156.