What is the 7887th prime number?
The 7887th prime number is 80611. The next prime is 80621 (a gap of 10) and the one before is 80603.
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 7887th one is 80611.
- 2
80611 is prime because no prime up to ā80611 ā 283.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7887th prime is close to 7887 Ć ln(7887) ā 70770, and here it is 80611.
- 4
80611 has no twin: neither 80609 nor 80613 is prime.
Primes around the 7887th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7884 | 80567 | 10 |
| 7885 | 80599 | 32 |
| 7886 | 80603 | 4 |
| 7887 | 80611 | 8 |
| 7888 | 80621 | 10 |
| 7889 | 80627 | 6 |
| 7890 | 80629 | 2 |
Questions
What is the 7887th prime number?
80611.
Which prime number is 80611?
80611 is the 7887th prime number.
What is the sum of the first 7887 primes?
300,503,608.