What is the 4103rd prime number?
The 4103rd prime number is 38953. The next prime is 38959 (a gap of 6) and the one before is 38933.
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 4103rd one is 38953.
- 2
38953 is prime because no prime up to ā38953 ā 197.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4103rd prime is close to 4103 Ć ln(4103) ā 34135, and here it is 38953.
- 4
38953 has no twin: neither 38951 nor 38955 is prime.
Primes around the 4103rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4100 | 38921 | 4 |
| 4101 | 38923 | 2 |
| 4102 | 38933 | 10 |
| 4103 | 38953 | 20 |
| 4104 | 38959 | 6 |
| 4105 | 38971 | 12 |
| 4106 | 38977 | 6 |
Questions
What is the 4103rd prime number?
38953.
Which prime number is 38953?
38953 is the 4103rd prime number.
What is the sum of the first 4103 primes?
75,222,988.