CREATE TABLE Table1 (
Key INTEGER NOT NULL,
... several other fields ...,
Status CHAR(1) NOT NULL,
Selection VARCHAR NULL,
CONSTRAINT PK_Table1 PRIMARY KEY (Key ASC))

CREATE Table2 (
Key INTEGER NOT NULL,
Key2 INTEGER NOT NULL,
... a few other fields ...,
CONSTRAINT PK_Table2 PRIMARY KEY (Key ASC, Key2 ASC))

CREATE INDEX IDX_Table1_Status ON Table1 (Status ASC, Key ASC)
CREATE INDEX IDX_Table1_Selection ON Table1 (Selection ASC, Key ASC)

SELECT COUNT(*) FROM Table1
    Time: 105 sec
    QP: SCAN TABLE Table1 USING COVERING INDEX IDX_Table1_Selection(~1000000 rows)
SELECT COUNT(Key) FROM Table1
    Time: 153 sec
    QP: SCAN TABLE Table1 (~1000000 rows)
SELECT * FROM Table1 WHERE Key = 5123456
    Time: 5 ms
    QP: SEARCH TABLE Table1 USING INTEGER PRIMARY KEY (rowid=?) (~1 rows)
SELECT * FROM Table1 WHERE Status = 73 AND Key > 5123456 LIMIT 1
    Time: 16 sec
    QP: SEARCH TABLE Table1 USING INDEX IDX_Table1_Status (Status=?) (~3 rows)
SELECT * FROM Table1 WHERE Selection = 'SomeValue' AND Key > 5123456 LIMIT 1
    Time: 9 ms
    QP: SEARCH TABLE Table1 USING INDEX IDX_Table1_Selection (Selection=?) (~3 rows)

SELECT COUNT(*) FROM Table2
    Time: 528 sec
    QP: SCAN TABLE Table2 USING COVERING INDEX sqlite_autoindex_Table2_1(~1000000 rows)
SELECT COUNT(Key) FROM Table2
    Time: 249 sec
    QP: SCAN TABLE Table2 (~1000000 rows)
SELECT * FROM Table2 WHERE Key = 5123456 AND Key2 = 0
    Time: 7 ms
    QP: SEARCH TABLE Table2 USING INDEX sqlite_autoindex_Table2_1 (Key=? AND Key2=?) (~1 rows)

SELECT COUNT(*) FROM Table1
    Time: 104 sec
    QP: SCAN TABLE Table1 USING COVERING INDEX IDX_Table1_Selection(~7848023 rows)
SELECT COUNT(Key) FROM Table1
    Time: 151 sec
    QP: SCAN TABLE Table1 (~7848023 rows)
SELECT * FROM Table1 WHERE Status = 73 AND Key > 5123456 LIMIT 1
    Time: 5 ms
    QP: SEARCH TABLE Table1 USING INTEGER PRIMARY KEY (rowid>?) (~196200 rows)
SELECT COUNT(*) FROM Table2
    Time: 529 sec
    QP: SCAN TABLE Table2 USING COVERING INDEX sqlite_autoindex_Table2_1(~51152542 rows)
SELECT COUNT(Key) FROM Table2
    Time: 249 sec
    QP: SCAN TABLE Table2 (~51152542 rows)

CREATE INDEX IDX_Table1_Key ON Table1 (Key ASC)

SELECT COUNT(*) FROM Table1
    Time: 4 sec
    QP: SCAN TABLE Table1 USING COVERING INDEX IDX_Table1_Key(~1000000 rows)
SELECT COUNT(Key) FROM Table1
    Time: 167 sec
    QP: SCAN TABLE Table2 (~1000000 rows)
SELECT * FROM Table1 WHERE Status = 73 AND Key > 5123456 LIMIT 1
    Time: 17 sec
    QP: SEARCH TABLE Table1 USING INDEX IDX_Table1_Status (Status=?) (~3 rows)

CREATE TABLE Table1 (
Key INTEGER PRIMARY KEY ASC NOT NULL,
... several other fields ...,
Status CHAR(1) NOT NULL,
Selection VARCHAR NULL)

SELECT COUNT(*) FROM Table1
    Time: 6 sec
    QP: SCAN TABLE Table1 USING COVERING INDEX IDX_Table1_Selection(~1000000 rows)
SELECT COUNT(Key) FROM Table1
    Time: 28 sec
    QP: SCAN TABLE Table1 (~1000000 rows)
SELECT * FROM Table1 WHERE Status = 73 AND Key > 5123456 LIMIT 1
    Time: 10 sec
    QP: SEARCH TABLE Table1 USING INDEX IDX_Table1_Status (Status=?) (~3 rows)

SELECT MAX(_ROWID_) FROM "table" LIMIT 1;

select count(my_column) from (select * from my_table) group by my_column having count(my_column) > 1; -- < 1 second
-- For reference, the following query took > 10 seconds
select count(my_column) from my_table group by my_column having count(my_column) > 1; -- > 10 seconds