What is the 9802nd prime number?
The 9802nd prime number is 102337. The next prime is 102359 (a gap of 22) and the one before is 102329.
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 9802nd one is 102337.
- 2
102337 is prime because no prime up to ā102337 ā 319.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9802nd prime is close to 9802 Ć ln(9802) ā 90084, and here it is 102337.
- 4
102337 has no twin: neither 102335 nor 102339 is prime.
Primes around the 9802nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9799 | 102301 | 2 |
| 9800 | 102317 | 16 |
| 9801 | 102329 | 12 |
| 9802 | 102337 | 8 |
| 9803 | 102359 | 22 |
| 9804 | 102367 | 8 |
| 9805 | 102397 | 30 |
Questions
What is the 9802nd prime number?
102337.
Which prime number is 102337?
102337 is the 9802nd prime number.
What is the sum of the first 9802 primes?
475,654,551.