What is the 3871st prime number?
The 3871st prime number is 36523. The next prime is 36527 (a gap of 4) and the one before is 36497.
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 3871st one is 36523.
- 2
36523 is prime because no prime up to ā36523 ā 191.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3871st prime is close to 3871 Ć ln(3871) ā 31979, and here it is 36523.
- 4
36523 has no twin: neither 36521 nor 36525 is prime.
Primes around the 3871st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3868 | 36479 | 6 |
| 3869 | 36493 | 14 |
| 3870 | 36497 | 4 |
| 3871 | 36523 | 26 |
| 3872 | 36527 | 4 |
| 3873 | 36529 | 2 |
| 3874 | 36541 | 12 |
Questions
What is the 3871st prime number?
36523.
Which prime number is 36523?
36523 is the 3871st prime number.
What is the sum of the first 3871 primes?
66,475,118.