What is the 8987th prime number?
The 8987th prime number is 93053. The next prime is 93059 (a gap of 6) and the one before is 93047.
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 8987th one is 93053.
- 2
93053 is prime because no prime up to ā93053 ā 305.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8987th prime is close to 8987 Ć ln(8987) ā 81813, and here it is 93053.
- 4
93053 has no twin: neither 93051 nor 93055 is prime.
Primes around the 8987th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8984 | 92993 | 6 |
| 8985 | 93001 | 8 |
| 8986 | 93047 | 46 |
| 8987 | 93053 | 6 |
| 8988 | 93059 | 6 |
| 8989 | 93077 | 18 |
| 8990 | 93083 | 6 |
Questions
What is the 8987th prime number?
93053.
Which prime number is 93053?
93053 is the 8987th prime number.
What is the sum of the first 8987 primes?
396,008,798.