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Results tagged with number-theory
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user 49820
Number theory involves properties and relationships of numbers, primarily positive integers.
5
votes
Reverse and subtract
Oracle SQL 11.2, 136 bytes
WITH v(n)AS(SELECT :1 FROM DUAL UNION ALL SELECT ABS(n-REVERSE(n||''))FROM v WHERE n>0)CYCLE n SET c TO 0 DEFAULT 1 SELECT MIN(c)FROM v;
Un-golfed
WITH v(n) AS
(
SEL …
- 1,701
4
votes
Generate lazy values
Oracle SQL 11.2, 200 bytes
WITH v(i)AS(SELECT 0 FROM DUAL UNION ALL SELECT DECODE(SIGN(i),0,-1,-1,-i,-i-1)FROM v WHERE LENGTH(REGEXP_REPLACE(:1+i,'([0-9])\1+','\1'))>1)SELECT:1+MIN(i)KEEP(DENSE_RANK L …
- 1,701
4
votes
Implement the divisibility-by-7 rule
Oracle SQL 11.2, 116 bytes
WITH v(i)AS(SELECT:1 FROM DUAL UNION ALL SELECT TRUNC(i/10)-(i-TRUNC(i,-1))*2 FROM v WHERE i>70)SELECT MIN(i)FROM v;
Un-golfed
WITH v(i) AS
(
SELECT :1 FROM DUAL
UNION …
- 1,701
2
votes
Greatest Common Divisor
Oracle SQL 11.2, 104 118 bytes
SELECT MAX(:1+:2-LEVEL+1)FROM DUAL WHERE(MOD(:1,:1+:2-LEVEL+1)+MOD(:2,:1+:2-LEVEL+1))*:1*:2=0 CONNECT BY LEVEL<=:1+:2;
Fixed for input of 0
- 1,701
2
votes
Is this number a prime?
Oracle SQL 11.2, 73 bytes
SELECT SUM(DECODE(MOD(:1,LEVEL),0,1,0))-2 FROM DUAL CONNECT BY LEVEL<=:1;
Return 0 if prime, any other value is false
- 1,701
2
votes
Output the Juggler sequence
Oracle SQL 11.2, 128 bytes
WITH v(i)AS(SELECT :1 FROM DUAL UNION ALL SELECT FLOOR(DECODE(MOD(i,2),0,SQRT(i),POWER(i,1.5)))FROM v WHERE i>1)SELECT i FROM v;
Un-golfed
WITH v(i) AS
(
SELECT :1 FROM D …
- 1,701
1
vote
Print the Super Collatz numbers
Oracle SQL 11.2, 329 bytes
WITH q(s,i)AS(SELECT LEVEL s,LEVEL i FROM DUAL CONNECT BY LEVEL<=:1 UNION ALL SELECT s,DECODE(MOD(i,2),0,i/2,i*3+1)i FROM q WHERE i<>1),v AS(SELECT s,COUNT(*)-1 d FROM q GRO …
- 1,701