What is the 9978th prime number?
The 9978th prime number is 104527. The next prime is 104537 (a gap of 10) and the one before is 104513.
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 9978th one is 104527.
- 2
104527 is prime because no prime up to ā104527 ā 323.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9978th prime is close to 9978 Ć ln(9978) ā 91879, and here it is 104527.
- 4
104527 has no twin: neither 104525 nor 104529 is prime.
Primes around the 9978th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9975 | 104479 | 6 |
| 9976 | 104491 | 12 |
| 9977 | 104513 | 22 |
| 9978 | 104527 | 14 |
| 9979 | 104537 | 10 |
| 9980 | 104543 | 6 |
| 9981 | 104549 | 6 |
Questions
What is the 9978th prime number?
104527.
Which prime number is 104527?
104527 is the 9978th prime number.
What is the sum of the first 9978 primes?
493,863,307.