Quiet Guests by Schadenfreude

Puzzle explanation

The alphabetic sums of initial letters of extra words and answer to the clues containing them spelt out “sequence of prime numbers”. Clashing letter groups (in symmetrically disposed cells) combined to form the surnames of the prime-numbered US Presidents, namely: 2 ADA/MS, 3 JEFF/ERSON, 5 MONRO/E, 7 JACK/SON, 11 POL/K, 13 FILL/MORE, 17 JOHN/SON, 19 HA/YES, 23 HARRI/SON, 29 HAR/DING, 31 HO/OVER, 37 NI/XON, 41 and 43 B/USH. The title cryptically indicates P+RESIDENTS.

Clue explanations

Conventions: * = anagram, < = reversal

No Extra word Answer (clashes) Explanation
Across
1   PAI(K) AI in PK
4   (MONRO)VIA MONA around IVOR <
7   BARP(ERSON) BARON around (PER + S)
11 Nobody EMMYS EMYS around M
12   ENCAL(MS) C in (LE MANS) *
14 micro-organisms REAGIN (A + G) in REIN
15 merchant DROMON D + (NO MOR(e)) <
16   (JOHN) BULL JOHN + BULL
17   (B)URNING BURNS − S + ING
19 Timor ARTISTES STRAITS * around E
21 seldom LISTENER LIST + RENÉ <
23 Tipsy TORTE TO + RTE
25   A(XON)S A + ON in (X + S)
27 normal OMLAH L in OMAHA − A
31 surfing LETTABLE LET + TABLE
33 unions TEESSIDE TEES + SIDE
35   NETHER(MORE) N + ETHER + MORE
37   HIGH(JACK) HIGH + JACK
38 attractive ERICAS ERIC + AS
39 Dancers LICHEE (LIE + (fatigu)E) around CH
40   (HAR)AMBEE HARAM + BEE
41 zone REARS REAR + (Rus)S(ian)
42   (HARRI)DANS (ARR + I + D + A + N) in HS
43   EST(OVER) SET * + OVER
44   (HA)STE (c)HASTE(n)
Down
1   PER(SON)ALTY (R’S + O) in PENALTY
2 Zealous IMAUMS (A + MUSLIM − L) *
3   (POL)YGLOTT POLY + LOT in GT
4   (E)SILE ENSILE − N
5 quiet VENTANA EN in (V + TANA)
6   INR(USH) RUINS * + H
7 café BARRICO C in BARRIO
8 moved ALONSO ALON(e) + SO
9 echo PHONE CALL ONCE * in (P + HALL)
10   (JEFF)ING JEFF + IN + G(ang)
13   (ADA)MITE ATE around (D + AMI)
18 Windows PIONEERED ONE-ER in (PI + ’D)
20   RE(NI)ED RED around (EN + I’)
22   CHER(SON)ESE CHER + SON + SEE *
24 Whaler ENSEAMS SEAMEN * + S
26 last STEMLET STEM + TEL <
28   MAGIC E(YES) (CE + (closel)Y) in IMAGE * + S
29   BETI(DING) BE + T + I + DING
30 qualification ASH-CAN ASH + CAN
32 Quaker BIGHAS BIG + HAS
34   CHI-R(HO) CHI(t) + RH + O’
35   NEL(SON) NEON around (L(oaded) S(hip))
36   (FILL)IES FLIES around IL
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