What is the 4820th prime number?
The 4820th prime number is 46643. The next prime is 46649 (a gap of 6) and the one before is 46639.
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 4820th one is 46643.
- 2
46643 is prime because no prime up to ā46643 ā 215.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4820th prime is close to 4820 Ć ln(4820) ā 40876, and here it is 46643.
- 4
46643 has no twin: neither 46641 nor 46645 is prime.
Primes around the 4820th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4817 | 46619 | 18 |
| 4818 | 46633 | 14 |
| 4819 | 46639 | 6 |
| 4820 | 46643 | 4 |
| 4821 | 46649 | 6 |
| 4822 | 46663 | 14 |
| 4823 | 46679 | 16 |
Questions
What is the 4820th prime number?
46643.
Which prime number is 46643?
46643 is the 4820th prime number.
What is the sum of the first 4820 primes?
105,880,759.