What is the 8441st prime number?
The 8441st prime number is 86869. The next prime is 86923 (a gap of 54) and the one before is 86861.
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 8441st one is 86869.
- 2
86869 is prime because no prime up to ā86869 ā 294.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8441st prime is close to 8441 Ć ln(8441) ā 76314, and here it is 86869.
- 4
86869 has no twin: neither 86867 nor 86871 is prime.
Primes around the 8441st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8438 | 86851 | 8 |
| 8439 | 86857 | 6 |
| 8440 | 86861 | 4 |
| 8441 | 86869 | 8 |
| 8442 | 86923 | 54 |
| 8443 | 86927 | 4 |
| 8444 | 86929 | 2 |
Questions
What is the 8441st prime number?
86869.
Which prime number is 86869?
86869 is the 8441st prime number.
What is the sum of the first 8441 primes?
346,865,118.