What is the 8162nd prime number?
The 8162nd prime number is 83621. The next prime is 83639 (a gap of 18) and the one before is 83617.
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 8162nd one is 83621.
- 2
83621 is prime because no prime up to ā83621 ā 289.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8162nd prime is close to 8162 Ć ln(8162) ā 73517, and here it is 83621.
- 4
83621 has no twin: neither 83619 nor 83623 is prime.
Primes around the 8162nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8159 | 83597 | 6 |
| 8160 | 83609 | 12 |
| 8161 | 83617 | 8 |
| 8162 | 83621 | 4 |
| 8163 | 83639 | 18 |
| 8164 | 83641 | 2 |
| 8165 | 83653 | 12 |
Questions
What is the 8162nd prime number?
83621.
Which prime number is 83621?
83621 is the 8162nd prime number.
What is the sum of the first 8162 primes?
323,075,301.