What is the 9887th prime number?
The 9887th prime number is 103451. The next prime is 103457 (a gap of 6) and the one before is 103423.
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 9887th one is 103451.
- 2
103451 is prime because no prime up to ā103451 ā 321.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9887th prime is close to 9887 Ć ln(9887) ā 90950, and here it is 103451.
- 4
103451 has no twin: neither 103449 nor 103453 is prime.
Primes around the 9887th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9884 | 103409 | 10 |
| 9885 | 103421 | 12 |
| 9886 | 103423 | 2 |
| 9887 | 103451 | 28 |
| 9888 | 103457 | 6 |
| 9889 | 103471 | 14 |
| 9890 | 103483 | 12 |
Questions
What is the 9887th prime number?
103451.
Which prime number is 103451?
103451 is the 9887th prime number.
What is the sum of the first 9887 primes?
484,399,928.