What is the 3880th prime number?
The 3880th prime number is 36587. The next prime is 36599 (a gap of 12) and the one before is 36583.
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 3880th one is 36587.
- 2
36587 is prime because no prime up to ā36587 ā 191.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3880th prime is close to 3880 Ć ln(3880) ā 32063, and here it is 36587.
- 4
36587 has no twin: neither 36585 nor 36589 is prime.
Primes around the 3880th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3877 | 36563 | 4 |
| 3878 | 36571 | 8 |
| 3879 | 36583 | 12 |
| 3880 | 36587 | 4 |
| 3881 | 36599 | 12 |
| 3882 | 36607 | 8 |
| 3883 | 36629 | 22 |
Questions
What is the 3880th prime number?
36587.
Which prime number is 36587?
36587 is the 3880th prime number.
What is the sum of the first 3880 primes?
66,804,129.