What is the 3874th prime number?
The 3874th prime number is 36541. The next prime is 36551 (a gap of 10) and the one before is 36529.
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 3874th one is 36541.
- 2
36541 is prime because no prime up to ā36541 ā 191.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3874th prime is close to 3874 Ć ln(3874) ā 32007, and here it is 36541.
- 4
36541 has no twin: neither 36539 nor 36543 is prime.
Primes around the 3874th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3871 | 36523 | 26 |
| 3872 | 36527 | 4 |
| 3873 | 36529 | 2 |
| 3874 | 36541 | 12 |
| 3875 | 36551 | 10 |
| 3876 | 36559 | 8 |
| 3877 | 36563 | 4 |
Questions
What is the 3874th prime number?
36541.
Which prime number is 36541?
36541 is the 3874th prime number.
What is the sum of the first 3874 primes?
66,584,715.