What is the 9975th prime number?
The 9975th prime number is 104479. The next prime is 104491 (a gap of 12) and the one before is 104473.
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 9975th one is 104479.
- 2
104479 is prime because no prime up to ā104479 ā 323.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9975th prime is close to 9975 Ć ln(9975) ā 91848, and here it is 104479.
- 4
104479 has no twin: neither 104477 nor 104481 is prime.
Primes around the 9975th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9972 | 104459 | 42 |
| 9973 | 104471 | 12 |
| 9974 | 104473 | 2 |
| 9975 | 104479 | 6 |
| 9976 | 104491 | 12 |
| 9977 | 104513 | 22 |
| 9978 | 104527 | 14 |
Questions
What is the 9975th prime number?
104479.
Which prime number is 104479?
104479 is the 9975th prime number.
What is the sum of the first 9975 primes?
493,549,776.