What is the 3888th prime number?
The 3888th prime number is 36677. The next prime is 36683 (a gap of 6) and the one before is 36671.
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 3888th one is 36677.
- 2
36677 is prime because no prime up to ā36677 ā 191.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3888th prime is close to 3888 Ć ln(3888) ā 32137, and here it is 36677.
- 4
36677 has no twin: neither 36675 nor 36679 is prime.
Primes around the 3888th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3885 | 36643 | 6 |
| 3886 | 36653 | 10 |
| 3887 | 36671 | 18 |
| 3888 | 36677 | 6 |
| 3889 | 36683 | 6 |
| 3890 | 36691 | 8 |
| 3891 | 36697 | 6 |
Questions
What is the 3888th prime number?
36677.
Which prime number is 36677?
36677 is the 3888th prime number.
What is the sum of the first 3888 primes?
67,097,245.