What is the 9888th prime number?
The 9888th prime number is 103457. The next prime is 103471 (a gap of 14) and the one before is 103451.
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 9888th one is 103457.
- 2
103457 is prime because no prime up to ā103457 ā 321.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9888th prime is close to 9888 Ć ln(9888) ā 90960, and here it is 103457.
- 4
103457 has no twin: neither 103455 nor 103459 is prime.
Primes around the 9888th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9885 | 103421 | 12 |
| 9886 | 103423 | 2 |
| 9887 | 103451 | 28 |
| 9888 | 103457 | 6 |
| 9889 | 103471 | 14 |
| 9890 | 103483 | 12 |
| 9891 | 103511 | 28 |
Questions
What is the 9888th prime number?
103457.
Which prime number is 103457?
103457 is the 9888th prime number.
What is the sum of the first 9888 primes?
484,503,385.