What is the 4481st prime number?
The 4481st prime number is 42853. The next prime is 42859 (a gap of 6) and the one before is 42841.
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 4481st one is 42853.
- 2
42853 is prime because no prime up to ā42853 ā 207.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4481st prime is close to 4481 Ć ln(4481) ā 37674, and here it is 42853.
- 4
42853 has no twin: neither 42851 nor 42855 is prime.
Primes around the 4481st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4478 | 42829 | 8 |
| 4479 | 42839 | 10 |
| 4480 | 42841 | 2 |
| 4481 | 42853 | 12 |
| 4482 | 42859 | 6 |
| 4483 | 42863 | 4 |
| 4484 | 42899 | 36 |
Questions
What is the 4481st prime number?
42853.
Which prime number is 42853?
42853 is the 4481st prime number.
What is the sum of the first 4481 primes?
90,704,154.