What is the 4681st prime number?
The 4681st prime number is 45083. The next prime is 45119 (a gap of 36) and the one before is 45077.
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 4681st one is 45083.
- 2
45083 is prime because no prime up to ā45083 ā 212.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4681st prime is close to 4681 Ć ln(4681) ā 39560, and here it is 45083.
- 4
45083 has no twin: neither 45081 nor 45085 is prime.
Primes around the 4681st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4678 | 45053 | 40 |
| 4679 | 45061 | 8 |
| 4680 | 45077 | 16 |
| 4681 | 45083 | 6 |
| 4682 | 45119 | 36 |
| 4683 | 45121 | 2 |
| 4684 | 45127 | 6 |
Questions
What is the 4681st prime number?
45083.
Which prime number is 45083?
45083 is the 4681st prime number.
What is the sum of the first 4681 primes?
99,503,694.