What is the 8882nd prime number?
The 8882nd prime number is 91951. The next prime is 91957 (a gap of 6) and the one before is 91943.
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 8882nd one is 91951.
- 2
91951 is prime because no prime up to ā91951 ā 303.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8882nd prime is close to 8882 Ć ln(8882) ā 80753, and here it is 91951.
- 4
91951 has no twin: neither 91949 nor 91953 is prime.
Primes around the 8882nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8879 | 91921 | 12 |
| 8880 | 91939 | 18 |
| 8881 | 91943 | 4 |
| 8882 | 91951 | 8 |
| 8883 | 91957 | 6 |
| 8884 | 91961 | 4 |
| 8885 | 91967 | 6 |
Questions
What is the 8882nd prime number?
91951.
Which prime number is 91951?
91951 is the 8882nd prime number.
What is the sum of the first 8882 primes?
386,296,233.