What is the 4821st prime number?
The 4821st prime number is 46649. The next prime is 46663 (a gap of 14) and the one before is 46643.
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 4821st one is 46649.
- 2
46649 is prime because no prime up to ā46649 ā 215.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4821st prime is close to 4821 Ć ln(4821) ā 40886, and here it is 46649.
- 4
46649 has no twin: neither 46647 nor 46651 is prime.
Primes around the 4821st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4818 | 46633 | 14 |
| 4819 | 46639 | 6 |
| 4820 | 46643 | 4 |
| 4821 | 46649 | 6 |
| 4822 | 46663 | 14 |
| 4823 | 46679 | 16 |
| 4824 | 46681 | 2 |
Questions
What is the 4821st prime number?
46649.
Which prime number is 46649?
46649 is the 4821st prime number.
What is the sum of the first 4821 primes?
105,927,408.