What is the 4822nd prime number?
The 4822nd prime number is 46663. The next prime is 46679 (a gap of 16) and the one before is 46649.
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 4822nd one is 46663.
- 2
46663 is prime because no prime up to ā46663 ā 216.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4822nd prime is close to 4822 Ć ln(4822) ā 40895, and here it is 46663.
- 4
46663 has no twin: neither 46661 nor 46665 is prime.
Primes around the 4822nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4819 | 46639 | 6 |
| 4820 | 46643 | 4 |
| 4821 | 46649 | 6 |
| 4822 | 46663 | 14 |
| 4823 | 46679 | 16 |
| 4824 | 46681 | 2 |
| 4825 | 46687 | 6 |
Questions
What is the 4822nd prime number?
46663.
Which prime number is 46663?
46663 is the 4822nd prime number.
What is the sum of the first 4822 primes?
105,974,071.